Answer:
![\large\boxed{x=14}](https://img.qammunity.org/2021/formulas/mathematics/college/mzz312g80vlf517vdsuowxnyvcwtd69mxv.png)
Explanation:
Because the angles are adjacent to each other and form a straight line, they are supplementary angles. Supplementary angles add up to 180 degrees, therefore, you can add the two angle measures together and set them equal to 180.
(7x - 1) + (6x - 1) = 180 combine like terms
13x - 2 = 180 add 2 to both sides
13x = 182 divide by 13 on both sides
![\boxed{x=14}](https://img.qammunity.org/2021/formulas/mathematics/high-school/k276blm7jvge2j29s7swbe4278z4g9nd7v.png)