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Simplifying 32 + -1(x + 9) = 9x + -7 Reorder the terms: 32 + -1(9 + x) = 9x + -7 32 + (9 * -1 + x * -1) = 9x + -7 32 + (-9 + -1x) = 9x + -7 Combine like terms: 32 + -9 = 23 23 + -1x = 9x + -7 Reorder the terms: 23 + -1x = -7 + 9x Solving 23 + -1x = -7 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 23 + -1x + -9x = -7 + 9x + -9x Combine like terms: -1x + -9x = -10x 23 + -10x = -7 + 9x + -9x Combine like terms: 9x + -9x = 0 23 + -10x = -7 + 0 23 + -10x = -7 Add '-23' to each side of the equation. 23 + -23 + -10x = -7 + -23 Combine like terms: 23 + -23 = 0 0 + -10x = -7 + -23 -10x = -7 + -23 Combine like terms: -7 + -23 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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