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Simplifying 2[-1(x + -1) + 4] = 5 + [3(2x + -4) + -3x] Reorder the terms: 2[-1(-1 + x) + 4] = 5 + [3(2x + -4) + -3x] 2[(-1 * -1 + x * -1) + 4] = 5 + [3(2x + -4) + -3x] 2[(1 + -1x) + 4] = 5 + [3(2x + -4) + -3x] Reorder the terms: 2[1 + 4 + -1x] = 5 + [3(2x + -4) + -3x] Combine like terms: 1 + 4 = 5 2[5 + -1x] = 5 + [3(2x + -4) + -3x] [5 * 2 + -1x * 2] = 5 + [3(2x + -4) + -3x] [10 + -2x] = 5 + [3(2x + -4) + -3x] Reorder the terms: 10 + -2x = 5 + [3(-4 + 2x) + -3x] 10 + -2x = 5 + [(-4 * 3 + 2x * 3) + -3x] 10 + -2x = 5 + [(-12 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 10 + -2x = 5 + [-12 + 3x] Remove brackets around [-12 + 3x] 10 + -2x = 5 + -12 + 3x Combine like terms: 5 + -12 = -7 10 + -2x = -7 + 3x Solving 10 + -2x = -7 + 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 + -2x + -3x = -7 + 3x + -3x Combine like terms: -2x + -3x = -5x 10 + -5x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -5x = -7 + 0 10 + -5x = -7 Add '-10' to each side of the equation. 10 + -10 + -5x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -5x = -7 + -10 -5x = -7 + -10 Combine like terms: -7 + -10 = -17 -5x = -17 Divide each side by '-5'. x = 3.4 Simplifying x = 3.4
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