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Simplifying 3 + -1[4 + -1(5 + -1x)] = 4x + -1(12 + x) 3 + -1[4 + (5 * -1 + -1x * -1)] = 4x + -1(12 + x) 3 + -1[4 + (-5 + 1x)] = 4x + -1(12 + x) Combine like terms: 4 + -5 = -1 3 + -1[-1 + 1x] = 4x + -1(12 + x) 3 + [-1 * -1 + 1x * -1] = 4x + -1(12 + x) 3 + [1 + -1x] = 4x + -1(12 + x) Combine like terms: 3 + 1 = 4 4 + -1x = 4x + -1(12 + x) 4 + -1x = 4x + (12 * -1 + x * -1) 4 + -1x = 4x + (-12 + -1x) Reorder the terms: 4 + -1x = -12 + 4x + -1x Combine like terms: 4x + -1x = 3x 4 + -1x = -12 + 3x Solving 4 + -1x = -12 + 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 + -1x + -3x = -12 + 3x + -3x Combine like terms: -1x + -3x = -4x 4 + -4x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -4x = -12 + 0 4 + -4x = -12 Add '-4' to each side of the equation. 4 + -4 + -4x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -12 + -4 -4x = -12 + -4 Combine like terms: -12 + -4 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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