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Simplifying -16(x + -4) = 4(x + 36) Reorder the terms: -16(-4 + x) = 4(x + 36) (-4 * -16 + x * -16) = 4(x + 36) (64 + -16x) = 4(x + 36) Reorder the terms: 64 + -16x = 4(36 + x) 64 + -16x = (36 * 4 + x * 4) 64 + -16x = (144 + 4x) Solving 64 + -16x = 144 + 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. 64 + -16x + -4x = 144 + 4x + -4x Combine like terms: -16x + -4x = -20x 64 + -20x = 144 + 4x + -4x Combine like terms: 4x + -4x = 0 64 + -20x = 144 + 0 64 + -20x = 144 Add '-64' to each side of the equation. 64 + -64 + -20x = 144 + -64 Combine like terms: 64 + -64 = 0 0 + -20x = 144 + -64 -20x = 144 + -64 Combine like terms: 144 + -64 = 80 -20x = 80 Divide each side by '-20'. x = -4 Simplifying x = -4
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