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Simplifying 4(x + 16) + 4(x + 24) = -32 Reorder the terms: 4(16 + x) + 4(x + 24) = -32 (16 * 4 + x * 4) + 4(x + 24) = -32 (64 + 4x) + 4(x + 24) = -32 Reorder the terms: 64 + 4x + 4(24 + x) = -32 64 + 4x + (24 * 4 + x * 4) = -32 64 + 4x + (96 + 4x) = -32 Reorder the terms: 64 + 96 + 4x + 4x = -32 Combine like terms: 64 + 96 = 160 160 + 4x + 4x = -32 Combine like terms: 4x + 4x = 8x 160 + 8x = -32 Solving 160 + 8x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 8x = -32 + -160 Combine like terms: 160 + -160 = 0 0 + 8x = -32 + -160 8x = -32 + -160 Combine like terms: -32 + -160 = -192 8x = -192 Divide each side by '8'. x = -24 Simplifying x = -24
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