An assessment roll, or rolls, made by a person appointed by the board of supervisors for that purpose, as provided in Section 27-35-129 shall be made and returned at the time prescribed by the order of the state tax commission, and at the time designated by the order of the state tax commission, the board shall immediately assemble, receive and examine the same, and shall do all things which the law directs to be done if the roll had been received and equalized at the July meeting, except as to the time. The board of supervisors shall have power to increase or decrease the assessment of any property or person and shall cause to be added to the roll by the tax assessor, or the person appointed, any person or property omitted therefrom. Such equalization shall be completed within ten (10) days of the time designated by the state tax commission for the hearing of objections, and shall immediately, by newspaper publication, give notice that such roll, or rolls, so equalized are ready and open for inspection and examination by any taxpayer. The notice required to be given shall designate the time and place where objections to the assessments will be heard and determined. All objections to the assessment of property, as shown by such roll, or rolls, must be made in writing and filed by the taxpayers during the first three (3) days of the meeting and the board shall hear and determine all objections, and shall sit from day to day until the same shall have been disposed of and all corrections made. At the meeting when such objections are heard, the board shall have the power to increase or decrease the assessment of any taxpayer and to add to the assessment roll any person or property found to be omitted therefrom; provided, that when any person or property is added to the roll, or where any assessment is increased, the board shall require the clerk to give notice by mail to such person designating a future date when objections to such assessment or increase will be heard and determined. Such time shall be not less than ten (10) days nor more than fifteen (15) days. When all objections to such roll have been heard and determined, the board of supervisors shall forward to the state tax commission, as provided by law, a recapitulation of said roll, or rolls; and the roll, or rolls, shall be dealt with in all respects as now provided by law for rolls made and filed on the first Monday of July, except as to the time.