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Simplifying 0.2(x + 40) + -0.02(x + -60) = 4 Reorder the terms: 0.2(40 + x) + -0.02(x + -60) = 4 (40 * 0.2 + x * 0.2) + -0.02(x + -60) = 4 (8 + 0.2x) + -0.02(x + -60) = 4 Reorder the terms: 8 + 0.2x + -0.02(-60 + x) = 4 8 + 0.2x + (-60 * -0.02 + x * -0.02) = 4 8 + 0.2x + (1.2 + -0.02x) = 4 Reorder the terms: 8 + 1.2 + 0.2x + -0.02x = 4 Combine like terms: 8 + 1.2 = 9.2 9.2 + 0.2x + -0.02x = 4 Combine like terms: 0.2x + -0.02x = 0.18x 9.2 + 0.18x = 4 Solving 9.2 + 0.18x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.2' to each side of the equation. 9.2 + -9.2 + 0.18x = 4 + -9.2 Combine like terms: 9.2 + -9.2 = 0.0 0.0 + 0.18x = 4 + -9.2 0.18x = 4 + -9.2 Combine like terms: 4 + -9.2 = -5.2 0.18x = -5.2 Divide each side by '0.18'. x = -28.88888889 Simplifying x = -28.88888889
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