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Simplifying 3(x + 2) + 5(2 + -1x) = -32 Reorder the terms: 3(2 + x) + 5(2 + -1x) = -32 (2 * 3 + x * 3) + 5(2 + -1x) = -32 (6 + 3x) + 5(2 + -1x) = -32 6 + 3x + (2 * 5 + -1x * 5) = -32 6 + 3x + (10 + -5x) = -32 Reorder the terms: 6 + 10 + 3x + -5x = -32 Combine like terms: 6 + 10 = 16 16 + 3x + -5x = -32 Combine like terms: 3x + -5x = -2x 16 + -2x = -32 Solving 16 + -2x = -32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -2x = -32 + -16 Combine like terms: 16 + -16 = 0 0 + -2x = -32 + -16 -2x = -32 + -16 Combine like terms: -32 + -16 = -48 -2x = -48 Divide each side by '-2'. x = 24 Simplifying x = 24
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