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Simplifying 5x + 32 = 2(9 + -1x) Reorder the terms: 32 + 5x = 2(9 + -1x) 32 + 5x = (9 * 2 + -1x * 2) 32 + 5x = (18 + -2x) Solving 32 + 5x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 32 + 5x + 2x = 18 + -2x + 2x Combine like terms: 5x + 2x = 7x 32 + 7x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 32 + 7x = 18 + 0 32 + 7x = 18 Add '-32' to each side of the equation. 32 + -32 + 7x = 18 + -32 Combine like terms: 32 + -32 = 0 0 + 7x = 18 + -32 7x = 18 + -32 Combine like terms: 18 + -32 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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