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Simplifying 0.05(x + 30) + -0.07(x + -60) = 6.3 Reorder the terms: 0.05(30 + x) + -0.07(x + -60) = 6.3 (30 * 0.05 + x * 0.05) + -0.07(x + -60) = 6.3 (1.5 + 0.05x) + -0.07(x + -60) = 6.3 Reorder the terms: 1.5 + 0.05x + -0.07(-60 + x) = 6.3 1.5 + 0.05x + (-60 * -0.07 + x * -0.07) = 6.3 1.5 + 0.05x + (4.2 + -0.07x) = 6.3 Reorder the terms: 1.5 + 4.2 + 0.05x + -0.07x = 6.3 Combine like terms: 1.5 + 4.2 = 5.7 5.7 + 0.05x + -0.07x = 6.3 Combine like terms: 0.05x + -0.07x = -0.02x 5.7 + -0.02x = 6.3 Solving 5.7 + -0.02x = 6.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.7' to each side of the equation. 5.7 + -5.7 + -0.02x = 6.3 + -5.7 Combine like terms: 5.7 + -5.7 = 0.0 0.0 + -0.02x = 6.3 + -5.7 -0.02x = 6.3 + -5.7 Combine like terms: 6.3 + -5.7 = 0.6 -0.02x = 0.6 Divide each side by '-0.02'. x = -30 Simplifying x = -30
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