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Simplifying 0.15(x + 60) + -0.08(x + -10) = 9.1 Reorder the terms: 0.15(60 + x) + -0.08(x + -10) = 9.1 (60 * 0.15 + x * 0.15) + -0.08(x + -10) = 9.1 (9 + 0.15x) + -0.08(x + -10) = 9.1 Reorder the terms: 9 + 0.15x + -0.08(-10 + x) = 9.1 9 + 0.15x + (-10 * -0.08 + x * -0.08) = 9.1 9 + 0.15x + (0.8 + -0.08x) = 9.1 Reorder the terms: 9 + 0.8 + 0.15x + -0.08x = 9.1 Combine like terms: 9 + 0.8 = 9.8 9.8 + 0.15x + -0.08x = 9.1 Combine like terms: 0.15x + -0.08x = 0.07x 9.8 + 0.07x = 9.1 Solving 9.8 + 0.07x = 9.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.8' to each side of the equation. 9.8 + -9.8 + 0.07x = 9.1 + -9.8 Combine like terms: 9.8 + -9.8 = 0.0 0.0 + 0.07x = 9.1 + -9.8 0.07x = 9.1 + -9.8 Combine like terms: 9.1 + -9.8 = -0.7 0.07x = -0.7 Divide each side by '0.07'. x = -10 Simplifying x = -10
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