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Simplifying 5(9 + 2x) = 32 + -1x (9 * 5 + 2x * 5) = 32 + -1x (45 + 10x) = 32 + -1x Solving 45 + 10x = 32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 45 + 10x + x = 32 + -1x + x Combine like terms: 10x + x = 11x 45 + 11x = 32 + -1x + x Combine like terms: -1x + x = 0 45 + 11x = 32 + 0 45 + 11x = 32 Add '-45' to each side of the equation. 45 + -45 + 11x = 32 + -45 Combine like terms: 45 + -45 = 0 0 + 11x = 32 + -45 11x = 32 + -45 Combine like terms: 32 + -45 = -13 11x = -13 Divide each side by '11'. x = -1.181818182 Simplifying x = -1.181818182
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