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Simplifying 0.2(x + 50) + -0.07(x + -30) = 4.3 Reorder the terms: 0.2(50 + x) + -0.07(x + -30) = 4.3 (50 * 0.2 + x * 0.2) + -0.07(x + -30) = 4.3 (10 + 0.2x) + -0.07(x + -30) = 4.3 Reorder the terms: 10 + 0.2x + -0.07(-30 + x) = 4.3 10 + 0.2x + (-30 * -0.07 + x * -0.07) = 4.3 10 + 0.2x + (2.1 + -0.07x) = 4.3 Reorder the terms: 10 + 2.1 + 0.2x + -0.07x = 4.3 Combine like terms: 10 + 2.1 = 12.1 12.1 + 0.2x + -0.07x = 4.3 Combine like terms: 0.2x + -0.07x = 0.13x 12.1 + 0.13x = 4.3 Solving 12.1 + 0.13x = 4.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.1' to each side of the equation. 12.1 + -12.1 + 0.13x = 4.3 + -12.1 Combine like terms: 12.1 + -12.1 = 0.0 0.0 + 0.13x = 4.3 + -12.1 0.13x = 4.3 + -12.1 Combine like terms: 4.3 + -12.1 = -7.8 0.13x = -7.8 Divide each side by '0.13'. x = -60 Simplifying x = -60
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