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Simplifying 9(5 + x) = 15(10 + x) (5 * 9 + x * 9) = 15(10 + x) (45 + 9x) = 15(10 + x) 45 + 9x = (10 * 15 + x * 15) 45 + 9x = (150 + 15x) Solving 45 + 9x = 150 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 45 + 9x + -15x = 150 + 15x + -15x Combine like terms: 9x + -15x = -6x 45 + -6x = 150 + 15x + -15x Combine like terms: 15x + -15x = 0 45 + -6x = 150 + 0 45 + -6x = 150 Add '-45' to each side of the equation. 45 + -45 + -6x = 150 + -45 Combine like terms: 45 + -45 = 0 0 + -6x = 150 + -45 -6x = 150 + -45 Combine like terms: 150 + -45 = 105 -6x = 105 Divide each side by '-6'. x = -17.5 Simplifying x = -17.5
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