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Simplifying 0.05(x + 60) + -0.08(x + -10) = 2.9 Reorder the terms: 0.05(60 + x) + -0.08(x + -10) = 2.9 (60 * 0.05 + x * 0.05) + -0.08(x + -10) = 2.9 (3 + 0.05x) + -0.08(x + -10) = 2.9 Reorder the terms: 3 + 0.05x + -0.08(-10 + x) = 2.9 3 + 0.05x + (-10 * -0.08 + x * -0.08) = 2.9 3 + 0.05x + (0.8 + -0.08x) = 2.9 Reorder the terms: 3 + 0.8 + 0.05x + -0.08x = 2.9 Combine like terms: 3 + 0.8 = 3.8 3.8 + 0.05x + -0.08x = 2.9 Combine like terms: 0.05x + -0.08x = -0.03x 3.8 + -0.03x = 2.9 Solving 3.8 + -0.03x = 2.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.8' to each side of the equation. 3.8 + -3.8 + -0.03x = 2.9 + -3.8 Combine like terms: 3.8 + -3.8 = 0.0 0.0 + -0.03x = 2.9 + -3.8 -0.03x = 2.9 + -3.8 Combine like terms: 2.9 + -3.8 = -0.9 -0.03x = -0.9 Divide each side by '-0.03'. x = 30 Simplifying x = 30
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