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Simplifying 0.3(x + 30) + -0.03(x + -20) = -3.9 Reorder the terms: 0.3(30 + x) + -0.03(x + -20) = -3.9 (30 * 0.3 + x * 0.3) + -0.03(x + -20) = -3.9 (9 + 0.3x) + -0.03(x + -20) = -3.9 Reorder the terms: 9 + 0.3x + -0.03(-20 + x) = -3.9 9 + 0.3x + (-20 * -0.03 + x * -0.03) = -3.9 9 + 0.3x + (0.6 + -0.03x) = -3.9 Reorder the terms: 9 + 0.6 + 0.3x + -0.03x = -3.9 Combine like terms: 9 + 0.6 = 9.6 9.6 + 0.3x + -0.03x = -3.9 Combine like terms: 0.3x + -0.03x = 0.27x 9.6 + 0.27x = -3.9 Solving 9.6 + 0.27x = -3.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.6' to each side of the equation. 9.6 + -9.6 + 0.27x = -3.9 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + 0.27x = -3.9 + -9.6 0.27x = -3.9 + -9.6 Combine like terms: -3.9 + -9.6 = -13.5 0.27x = -13.5 Divide each side by '0.27'. x = -50 Simplifying x = -50
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