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Simplifying 5(18 + -1x) = 9(4x + -32) (18 * 5 + -1x * 5) = 9(4x + -32) (90 + -5x) = 9(4x + -32) Reorder the terms: 90 + -5x = 9(-32 + 4x) 90 + -5x = (-32 * 9 + 4x * 9) 90 + -5x = (-288 + 36x) Solving 90 + -5x = -288 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 90 + -5x + -36x = -288 + 36x + -36x Combine like terms: -5x + -36x = -41x 90 + -41x = -288 + 36x + -36x Combine like terms: 36x + -36x = 0 90 + -41x = -288 + 0 90 + -41x = -288 Add '-90' to each side of the equation. 90 + -90 + -41x = -288 + -90 Combine like terms: 90 + -90 = 0 0 + -41x = -288 + -90 -41x = -288 + -90 Combine like terms: -288 + -90 = -378 -41x = -378 Divide each side by '-41'. x = 9.219512195 Simplifying x = 9.219512195
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