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Simplifying 0.2(x + 60) + -0.05(x + -10) = 21.5 Reorder the terms: 0.2(60 + x) + -0.05(x + -10) = 21.5 (60 * 0.2 + x * 0.2) + -0.05(x + -10) = 21.5 (12 + 0.2x) + -0.05(x + -10) = 21.5 Reorder the terms: 12 + 0.2x + -0.05(-10 + x) = 21.5 12 + 0.2x + (-10 * -0.05 + x * -0.05) = 21.5 12 + 0.2x + (0.5 + -0.05x) = 21.5 Reorder the terms: 12 + 0.5 + 0.2x + -0.05x = 21.5 Combine like terms: 12 + 0.5 = 12.5 12.5 + 0.2x + -0.05x = 21.5 Combine like terms: 0.2x + -0.05x = 0.15x 12.5 + 0.15x = 21.5 Solving 12.5 + 0.15x = 21.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + -12.5 + 0.15x = 21.5 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 0.15x = 21.5 + -12.5 0.15x = 21.5 + -12.5 Combine like terms: 21.5 + -12.5 = 9 0.15x = 9 Divide each side by '0.15'. x = 60 Simplifying x = 60
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