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Simplifying 4[3 + -1x] = -2[x + -1] [3 * 4 + -1x * 4] = -2[x + -1] [12 + -4x] = -2[x + -1] Reorder the terms: 12 + -4x = -2[-1 + x] 12 + -4x = [-1 * -2 + x * -2] 12 + -4x = [2 + -2x] Solving 12 + -4x = 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. 12 + -4x + 2x = 2 + -2x + 2x Combine like terms: -4x + 2x = -2x 12 + -2x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -2x = 2 + 0 12 + -2x = 2 Add '-12' to each side of the equation. 12 + -12 + -2x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2x = 2 + -12 -2x = 2 + -12 Combine like terms: 2 + -12 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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