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Simplifying -12[x + 7] = 4[x + -1] Reorder the terms: -12[7 + x] = 4[x + -1] [7 * -12 + x * -12] = 4[x + -1] [-84 + -12x] = 4[x + -1] Reorder the terms: -84 + -12x = 4[-1 + x] -84 + -12x = [-1 * 4 + x * 4] -84 + -12x = [-4 + 4x] Solving -84 + -12x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -84 + -12x + -4x = -4 + 4x + -4x Combine like terms: -12x + -4x = -16x -84 + -16x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -84 + -16x = -4 + 0 -84 + -16x = -4 Add '84' to each side of the equation. -84 + 84 + -16x = -4 + 84 Combine like terms: -84 + 84 = 0 0 + -16x = -4 + 84 -16x = -4 + 84 Combine like terms: -4 + 84 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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