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Simplifying 0.25(x + 40) + -0.07(x + -20) = 0.6 Reorder the terms: 0.25(40 + x) + -0.07(x + -20) = 0.6 (40 * 0.25 + x * 0.25) + -0.07(x + -20) = 0.6 (10 + 0.25x) + -0.07(x + -20) = 0.6 Reorder the terms: 10 + 0.25x + -0.07(-20 + x) = 0.6 10 + 0.25x + (-20 * -0.07 + x * -0.07) = 0.6 10 + 0.25x + (1.4 + -0.07x) = 0.6 Reorder the terms: 10 + 1.4 + 0.25x + -0.07x = 0.6 Combine like terms: 10 + 1.4 = 11.4 11.4 + 0.25x + -0.07x = 0.6 Combine like terms: 0.25x + -0.07x = 0.18x 11.4 + 0.18x = 0.6 Solving 11.4 + 0.18x = 0.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11.4' to each side of the equation. 11.4 + -11.4 + 0.18x = 0.6 + -11.4 Combine like terms: 11.4 + -11.4 = 0.0 0.0 + 0.18x = 0.6 + -11.4 0.18x = 0.6 + -11.4 Combine like terms: 0.6 + -11.4 = -10.8 0.18x = -10.8 Divide each side by '0.18'. x = -60 Simplifying x = -60
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