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Simplifying (13x + -8) + (15 + -7x) = 2(x + 1) Reorder the terms: (-8 + 13x) + (15 + -7x) = 2(x + 1) Remove parenthesis around (-8 + 13x) -8 + 13x + (15 + -7x) = 2(x + 1) Remove parenthesis around (15 + -7x) -8 + 13x + 15 + -7x = 2(x + 1) Reorder the terms: -8 + 15 + 13x + -7x = 2(x + 1) Combine like terms: -8 + 15 = 7 7 + 13x + -7x = 2(x + 1) Combine like terms: 13x + -7x = 6x 7 + 6x = 2(x + 1) Reorder the terms: 7 + 6x = 2(1 + x) 7 + 6x = (1 * 2 + x * 2) 7 + 6x = (2 + 2x) Solving 7 + 6x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + 6x + -2x = 2 + 2x + -2x Combine like terms: 6x + -2x = 4x 7 + 4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + 4x = 2 + 0 7 + 4x = 2 Add '-7' to each side of the equation. 7 + -7 + 4x = 2 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 2 + -7 4x = 2 + -7 Combine like terms: 2 + -7 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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