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Simplifying 0.3(x + 30) + -0.07(x + -50) = 5.6 Reorder the terms: 0.3(30 + x) + -0.07(x + -50) = 5.6 (30 * 0.3 + x * 0.3) + -0.07(x + -50) = 5.6 (9 + 0.3x) + -0.07(x + -50) = 5.6 Reorder the terms: 9 + 0.3x + -0.07(-50 + x) = 5.6 9 + 0.3x + (-50 * -0.07 + x * -0.07) = 5.6 9 + 0.3x + (3.5 + -0.07x) = 5.6 Reorder the terms: 9 + 3.5 + 0.3x + -0.07x = 5.6 Combine like terms: 9 + 3.5 = 12.5 12.5 + 0.3x + -0.07x = 5.6 Combine like terms: 0.3x + -0.07x = 0.23x 12.5 + 0.23x = 5.6 Solving 12.5 + 0.23x = 5.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.5' to each side of the equation. 12.5 + -12.5 + 0.23x = 5.6 + -12.5 Combine like terms: 12.5 + -12.5 = 0.0 0.0 + 0.23x = 5.6 + -12.5 0.23x = 5.6 + -12.5 Combine like terms: 5.6 + -12.5 = -6.9 0.23x = -6.9 Divide each side by '0.23'. x = -30 Simplifying x = -30
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