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Simplifying 32(x + -1) + 117x + 10(x + 2) = 624 Reorder the terms: 32(-1 + x) + 117x + 10(x + 2) = 624 (-1 * 32 + x * 32) + 117x + 10(x + 2) = 624 (-32 + 32x) + 117x + 10(x + 2) = 624 Reorder the terms: -32 + 32x + 117x + 10(2 + x) = 624 -32 + 32x + 117x + (2 * 10 + x * 10) = 624 -32 + 32x + 117x + (20 + 10x) = 624 Reorder the terms: -32 + 20 + 32x + 117x + 10x = 624 Combine like terms: -32 + 20 = -12 -12 + 32x + 117x + 10x = 624 Combine like terms: 32x + 117x = 149x -12 + 149x + 10x = 624 Combine like terms: 149x + 10x = 159x -12 + 159x = 624 Solving -12 + 159x = 624 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 159x = 624 + 12 Combine like terms: -12 + 12 = 0 0 + 159x = 624 + 12 159x = 624 + 12 Combine like terms: 624 + 12 = 636 159x = 636 Divide each side by '159'. x = 4 Simplifying x = 4
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