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Simplifying -16(x + 6) = 4(x + -64) Reorder the terms: -16(6 + x) = 4(x + -64) (6 * -16 + x * -16) = 4(x + -64) (-96 + -16x) = 4(x + -64) Reorder the terms: -96 + -16x = 4(-64 + x) -96 + -16x = (-64 * 4 + x * 4) -96 + -16x = (-256 + 4x) Solving -96 + -16x = -256 + 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 = -256 + 4x + -4x Combine like terms: -16x + -4x = -20x -96 + -20x = -256 + 4x + -4x Combine like terms: 4x + -4x = 0 -96 + -20x = -256 + 0 -96 + -20x = -256 Add '96' to each side of the equation. -96 + 96 + -20x = -256 + 96 Combine like terms: -96 + 96 = 0 0 + -20x = -256 + 96 -20x = -256 + 96 Combine like terms: -256 + 96 = -160 -20x = -160 Divide each side by '-20'. x = 8 Simplifying x = 8
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