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Simplifying 9x + 9(15 + -9x) = 125 + x + 75(10 + -9x) 9x + (15 * 9 + -9x * 9) = 125 + x + 75(10 + -9x) 9x + (135 + -81x) = 125 + x + 75(10 + -9x) Reorder the terms: 135 + 9x + -81x = 125 + x + 75(10 + -9x) Combine like terms: 9x + -81x = -72x 135 + -72x = 125 + x + 75(10 + -9x) 135 + -72x = 125 + x + (10 * 75 + -9x * 75) 135 + -72x = 125 + x + (750 + -675x) Reorder the terms: 135 + -72x = 125 + 750 + x + -675x Combine like terms: 125 + 750 = 875 135 + -72x = 875 + x + -675x Combine like terms: x + -675x = -674x 135 + -72x = 875 + -674x Solving 135 + -72x = 875 + -674x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '674x' to each side of the equation. 135 + -72x + 674x = 875 + -674x + 674x Combine like terms: -72x + 674x = 602x 135 + 602x = 875 + -674x + 674x Combine like terms: -674x + 674x = 0 135 + 602x = 875 + 0 135 + 602x = 875 Add '-135' to each side of the equation. 135 + -135 + 602x = 875 + -135 Combine like terms: 135 + -135 = 0 0 + 602x = 875 + -135 602x = 875 + -135 Combine like terms: 875 + -135 = 740 602x = 740 Divide each side by '602'. x = 1.22923588 Simplifying x = 1.22923588
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