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Simplifying 0.05(x + 20) + -0.06(x + -60) = 4 Reorder the terms: 0.05(20 + x) + -0.06(x + -60) = 4 (20 * 0.05 + x * 0.05) + -0.06(x + -60) = 4 (1 + 0.05x) + -0.06(x + -60) = 4 Reorder the terms: 1 + 0.05x + -0.06(-60 + x) = 4 1 + 0.05x + (-60 * -0.06 + x * -0.06) = 4 1 + 0.05x + (3.6 + -0.06x) = 4 Reorder the terms: 1 + 3.6 + 0.05x + -0.06x = 4 Combine like terms: 1 + 3.6 = 4.6 4.6 + 0.05x + -0.06x = 4 Combine like terms: 0.05x + -0.06x = -0.01x 4.6 + -0.01x = 4 Solving 4.6 + -0.01x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.6' to each side of the equation. 4.6 + -4.6 + -0.01x = 4 + -4.6 Combine like terms: 4.6 + -4.6 = 0.0 0.0 + -0.01x = 4 + -4.6 -0.01x = 4 + -4.6 Combine like terms: 4 + -4.6 = -0.6 -0.01x = -0.6 Divide each side by '-0.01'. x = 60 Simplifying x = 60
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