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Simplifying 10(x) + 9(x) + 15(55 + -2x) = 175 10x + 9x + (55 * 15 + -2x * 15) = 175 10x + 9x + (825 + -30x) = 175 Reorder the terms: 825 + 10x + 9x + -30x = 175 Combine like terms: 10x + 9x = 19x 825 + 19x + -30x = 175 Combine like terms: 19x + -30x = -11x 825 + -11x = 175 Solving 825 + -11x = 175 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-825' to each side of the equation. 825 + -825 + -11x = 175 + -825 Combine like terms: 825 + -825 = 0 0 + -11x = 175 + -825 -11x = 175 + -825 Combine like terms: 175 + -825 = -650 -11x = -650 Divide each side by '-11'. x = 59.09090909 Simplifying x = 59.09090909
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