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Simplifying 0.15(x + 50) + -0.07(x + -60) = 10.9 Reorder the terms: 0.15(50 + x) + -0.07(x + -60) = 10.9 (50 * 0.15 + x * 0.15) + -0.07(x + -60) = 10.9 (7.5 + 0.15x) + -0.07(x + -60) = 10.9 Reorder the terms: 7.5 + 0.15x + -0.07(-60 + x) = 10.9 7.5 + 0.15x + (-60 * -0.07 + x * -0.07) = 10.9 7.5 + 0.15x + (4.2 + -0.07x) = 10.9 Reorder the terms: 7.5 + 4.2 + 0.15x + -0.07x = 10.9 Combine like terms: 7.5 + 4.2 = 11.7 11.7 + 0.15x + -0.07x = 10.9 Combine like terms: 0.15x + -0.07x = 0.08x 11.7 + 0.08x = 10.9 Solving 11.7 + 0.08x = 10.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.7' to each side of the equation. 11.7 + -11.7 + 0.08x = 10.9 + -11.7 Combine like terms: 11.7 + -11.7 = 0.0 0.0 + 0.08x = 10.9 + -11.7 0.08x = 10.9 + -11.7 Combine like terms: 10.9 + -11.7 = -0.8 0.08x = -0.8 Divide each side by '0.08'. x = -10 Simplifying x = -10
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