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Simplifying 4(x + 24) = -4(x + 8) Reorder the terms: 4(24 + x) = -4(x + 8) (24 * 4 + x * 4) = -4(x + 8) (96 + 4x) = -4(x + 8) Reorder the terms: 96 + 4x = -4(8 + x) 96 + 4x = (8 * -4 + x * -4) 96 + 4x = (-32 + -4x) Solving 96 + 4x = -32 + -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 + 4x + 4x = -32 + -4x + 4x Combine like terms: 4x + 4x = 8x 96 + 8x = -32 + -4x + 4x Combine like terms: -4x + 4x = 0 96 + 8x = -32 + 0 96 + 8x = -32 Add '-96' to each side of the equation. 96 + -96 + 8x = -32 + -96 Combine like terms: 96 + -96 = 0 0 + 8x = -32 + -96 8x = -32 + -96 Combine like terms: -32 + -96 = -128 8x = -128 Divide each side by '8'. x = -16 Simplifying x = -16
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