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Simplifying -16[x + 6] = 4[x + -14] Reorder the terms: -16[6 + x] = 4[x + -14] [6 * -16 + x * -16] = 4[x + -14] [-96 + -16x] = 4[x + -14] Reorder the terms: -96 + -16x = 4[-14 + x] -96 + -16x = [-14 * 4 + x * 4] -96 + -16x = [-56 + 4x] Solving -96 + -16x = -56 + 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. -96 + -16x + -4x = -56 + 4x + -4x Combine like terms: -16x + -4x = -20x -96 + -20x = -56 + 4x + -4x Combine like terms: 4x + -4x = 0 -96 + -20x = -56 + 0 -96 + -20x = -56 Add '96' to each side of the equation. -96 + 96 + -20x = -56 + 96 Combine like terms: -96 + 96 = 0 0 + -20x = -56 + 96 -20x = -56 + 96 Combine like terms: -56 + 96 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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