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Simplifying 15(90) + 50x = 10(90 + x) Multiply 15 * 90 1350 + 50x = 10(90 + x) 1350 + 50x = (90 * 10 + x * 10) 1350 + 50x = (900 + 10x) Solving 1350 + 50x = 900 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 1350 + 50x + -10x = 900 + 10x + -10x Combine like terms: 50x + -10x = 40x 1350 + 40x = 900 + 10x + -10x Combine like terms: 10x + -10x = 0 1350 + 40x = 900 + 0 1350 + 40x = 900 Add '-1350' to each side of the equation. 1350 + -1350 + 40x = 900 + -1350 Combine like terms: 1350 + -1350 = 0 0 + 40x = 900 + -1350 40x = 900 + -1350 Combine like terms: 900 + -1350 = -450 40x = -450 Divide each side by '40'. x = -11.25 Simplifying x = -11.25
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