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Simplifying 4(x + 16) = -4(x + -24) Reorder the terms: 4(16 + x) = -4(x + -24) (16 * 4 + x * 4) = -4(x + -24) (64 + 4x) = -4(x + -24) Reorder the terms: 64 + 4x = -4(-24 + x) 64 + 4x = (-24 * -4 + x * -4) 64 + 4x = (96 + -4x) Solving 64 + 4x = 96 + -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 + 4x + 4x = 96 + -4x + 4x Combine like terms: 4x + 4x = 8x 64 + 8x = 96 + -4x + 4x Combine like terms: -4x + 4x = 0 64 + 8x = 96 + 0 64 + 8x = 96 Add '-64' to each side of the equation. 64 + -64 + 8x = 96 + -64 Combine like terms: 64 + -64 = 0 0 + 8x = 96 + -64 8x = 96 + -64 Combine like terms: 96 + -64 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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