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Simplifying 2[(x + -1) + (x + 1)] + 13 = 3(x + -1) Reorder the terms: 2[(-1 + x) + (x + 1)] + 13 = 3(x + -1) Remove parenthesis around (-1 + x) 2[-1 + x + (x + 1)] + 13 = 3(x + -1) Reorder the terms: 2[-1 + x + (1 + x)] + 13 = 3(x + -1) Remove parenthesis around (1 + x) 2[-1 + x + 1 + x] + 13 = 3(x + -1) Reorder the terms: 2[-1 + 1 + x + x] + 13 = 3(x + -1) Combine like terms: -1 + 1 = 0 2[0 + x + x] + 13 = 3(x + -1) 2[x + x] + 13 = 3(x + -1) Combine like terms: x + x = 2x 2[2x] + 13 = 3(x + -1) Remove brackets around [2x] 2 * 2x + 13 = 3(x + -1) Multiply 2 * 2 4x + 13 = 3(x + -1) Reorder the terms: 13 + 4x = 3(x + -1) Reorder the terms: 13 + 4x = 3(-1 + x) 13 + 4x = (-1 * 3 + x * 3) 13 + 4x = (-3 + 3x) Solving 13 + 4x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 4x + -3x = -3 + 3x + -3x Combine like terms: 4x + -3x = 1x 13 + 1x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 1x = -3 + 0 13 + 1x = -3 Add '-13' to each side of the equation. 13 + -13 + 1x = -3 + -13 Combine like terms: 13 + -13 = 0 0 + 1x = -3 + -13 1x = -3 + -13 Combine like terms: -3 + -13 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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