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Simplifying -4[x + -1] = 3[2 + x] Reorder the terms: -4[-1 + x] = 3[2 + x] [-1 * -4 + x * -4] = 3[2 + x] [4 + -4x] = 3[2 + x] 4 + -4x = [2 * 3 + x * 3] 4 + -4x = [6 + 3x] Solving 4 + -4x = 6 + 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. 4 + -4x + -3x = 6 + 3x + -3x Combine like terms: -4x + -3x = -7x 4 + -7x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -7x = 6 + 0 4 + -7x = 6 Add '-4' to each side of the equation. 4 + -4 + -7x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 6 + -4 -7x = 6 + -4 Combine like terms: 6 + -4 = 2 -7x = 2 Divide each side by '-7'. x = -0.2857142857 Simplifying x = -0.2857142857
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