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Simplifying 0.1(x + 50) + -0.03(x + -20) = 1.4 Reorder the terms: 0.1(50 + x) + -0.03(x + -20) = 1.4 (50 * 0.1 + x * 0.1) + -0.03(x + -20) = 1.4 (5 + 0.1x) + -0.03(x + -20) = 1.4 Reorder the terms: 5 + 0.1x + -0.03(-20 + x) = 1.4 5 + 0.1x + (-20 * -0.03 + x * -0.03) = 1.4 5 + 0.1x + (0.6 + -0.03x) = 1.4 Reorder the terms: 5 + 0.6 + 0.1x + -0.03x = 1.4 Combine like terms: 5 + 0.6 = 5.6 5.6 + 0.1x + -0.03x = 1.4 Combine like terms: 0.1x + -0.03x = 0.07x 5.6 + 0.07x = 1.4 Solving 5.6 + 0.07x = 1.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.6' to each side of the equation. 5.6 + -5.6 + 0.07x = 1.4 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 0.07x = 1.4 + -5.6 0.07x = 1.4 + -5.6 Combine like terms: 1.4 + -5.6 = -4.2 0.07x = -4.2 Divide each side by '0.07'. x = -60 Simplifying x = -60
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