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Simplifying 2[3(x + 2) + -1(x + 1)] = 3(1 + x) Reorder the terms: 2[3(2 + x) + -1(x + 1)] = 3(1 + x) 2[(2 * 3 + x * 3) + -1(x + 1)] = 3(1 + x) 2[(6 + 3x) + -1(x + 1)] = 3(1 + x) Reorder the terms: 2[6 + 3x + -1(1 + x)] = 3(1 + x) 2[6 + 3x + (1 * -1 + x * -1)] = 3(1 + x) 2[6 + 3x + (-1 + -1x)] = 3(1 + x) Reorder the terms: 2[6 + -1 + 3x + -1x] = 3(1 + x) Combine like terms: 6 + -1 = 5 2[5 + 3x + -1x] = 3(1 + x) Combine like terms: 3x + -1x = 2x 2[5 + 2x] = 3(1 + x) [5 * 2 + 2x * 2] = 3(1 + x) [10 + 4x] = 3(1 + x) 10 + 4x = (1 * 3 + x * 3) 10 + 4x = (3 + 3x) Solving 10 + 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. 10 + 4x + -3x = 3 + 3x + -3x Combine like terms: 4x + -3x = 1x 10 + 1x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + 1x = 3 + 0 10 + 1x = 3 Add '-10' to each side of the equation. 10 + -10 + 1x = 3 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 3 + -10 1x = 3 + -10 Combine like terms: 3 + -10 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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