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Simplifying 5(x + 20) + -8 = x + 32 Reorder the terms: 5(20 + x) + -8 = x + 32 (20 * 5 + x * 5) + -8 = x + 32 (100 + 5x) + -8 = x + 32 Reorder the terms: 100 + -8 + 5x = x + 32 Combine like terms: 100 + -8 = 92 92 + 5x = x + 32 Reorder the terms: 92 + 5x = 32 + x Solving 92 + 5x = 32 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 92 + 5x + -1x = 32 + x + -1x Combine like terms: 5x + -1x = 4x 92 + 4x = 32 + x + -1x Combine like terms: x + -1x = 0 92 + 4x = 32 + 0 92 + 4x = 32 Add '-92' to each side of the equation. 92 + -92 + 4x = 32 + -92 Combine like terms: 92 + -92 = 0 0 + 4x = 32 + -92 4x = 32 + -92 Combine like terms: 32 + -92 = -60 4x = -60 Divide each side by '4'. x = -15 Simplifying x = -15
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