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Simplifying 0.05(x + 10) + -0.03(x + -50) = 0.8 Reorder the terms: 0.05(10 + x) + -0.03(x + -50) = 0.8 (10 * 0.05 + x * 0.05) + -0.03(x + -50) = 0.8 (0.5 + 0.05x) + -0.03(x + -50) = 0.8 Reorder the terms: 0.5 + 0.05x + -0.03(-50 + x) = 0.8 0.5 + 0.05x + (-50 * -0.03 + x * -0.03) = 0.8 0.5 + 0.05x + (1.5 + -0.03x) = 0.8 Reorder the terms: 0.5 + 1.5 + 0.05x + -0.03x = 0.8 Combine like terms: 0.5 + 1.5 = 2 2 + 0.05x + -0.03x = 0.8 Combine like terms: 0.05x + -0.03x = 0.02x 2 + 0.02x = 0.8 Solving 2 + 0.02x = 0.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.02x = 0.8 + -2 Combine like terms: 2 + -2 = 0 0 + 0.02x = 0.8 + -2 0.02x = 0.8 + -2 Combine like terms: 0.8 + -2 = -1.2 0.02x = -1.2 Divide each side by '0.02'. x = -60 Simplifying x = -60
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