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Simplifying 0.3(x + 60) + -0.03(x + -20) = 15.9 Reorder the terms: 0.3(60 + x) + -0.03(x + -20) = 15.9 (60 * 0.3 + x * 0.3) + -0.03(x + -20) = 15.9 (18 + 0.3x) + -0.03(x + -20) = 15.9 Reorder the terms: 18 + 0.3x + -0.03(-20 + x) = 15.9 18 + 0.3x + (-20 * -0.03 + x * -0.03) = 15.9 18 + 0.3x + (0.6 + -0.03x) = 15.9 Reorder the terms: 18 + 0.6 + 0.3x + -0.03x = 15.9 Combine like terms: 18 + 0.6 = 18.6 18.6 + 0.3x + -0.03x = 15.9 Combine like terms: 0.3x + -0.03x = 0.27x 18.6 + 0.27x = 15.9 Solving 18.6 + 0.27x = 15.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18.6' to each side of the equation. 18.6 + -18.6 + 0.27x = 15.9 + -18.6 Combine like terms: 18.6 + -18.6 = 0.0 0.0 + 0.27x = 15.9 + -18.6 0.27x = 15.9 + -18.6 Combine like terms: 15.9 + -18.6 = -2.7 0.27x = -2.7 Divide each side by '0.27'. x = -10 Simplifying x = -10
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