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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 = 12x 96 + 12x = -256 + 4x + -4x Combine like terms: 4x + -4x = 0 96 + 12x = -256 + 0 96 + 12x = -256 Add '-96' to each side of the equation. 96 + -96 + 12x = -256 + -96 Combine like terms: 96 + -96 = 0 0 + 12x = -256 + -96 12x = -256 + -96 Combine like terms: -256 + -96 = -352 12x = -352 Divide each side by '12'. x = -29.33333333 Simplifying x = -29.33333333
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