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Simplifying 0.05(x + 20) + -0.07(x + -30) = 1.9 Reorder the terms: 0.05(20 + x) + -0.07(x + -30) = 1.9 (20 * 0.05 + x * 0.05) + -0.07(x + -30) = 1.9 (1 + 0.05x) + -0.07(x + -30) = 1.9 Reorder the terms: 1 + 0.05x + -0.07(-30 + x) = 1.9 1 + 0.05x + (-30 * -0.07 + x * -0.07) = 1.9 1 + 0.05x + (2.1 + -0.07x) = 1.9 Reorder the terms: 1 + 2.1 + 0.05x + -0.07x = 1.9 Combine like terms: 1 + 2.1 = 3.1 3.1 + 0.05x + -0.07x = 1.9 Combine like terms: 0.05x + -0.07x = -0.02x 3.1 + -0.02x = 1.9 Solving 3.1 + -0.02x = 1.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.1' to each side of the equation. 3.1 + -3.1 + -0.02x = 1.9 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -0.02x = 1.9 + -3.1 -0.02x = 1.9 + -3.1 Combine like terms: 1.9 + -3.1 = -1.2 -0.02x = -1.2 Divide each side by '-0.02'. x = 60 Simplifying x = 60
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