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Simplifying 0.1(x + 10) + -0.07(x + -50) = 2.7 Reorder the terms: 0.1(10 + x) + -0.07(x + -50) = 2.7 (10 * 0.1 + x * 0.1) + -0.07(x + -50) = 2.7 (1 + 0.1x) + -0.07(x + -50) = 2.7 Reorder the terms: 1 + 0.1x + -0.07(-50 + x) = 2.7 1 + 0.1x + (-50 * -0.07 + x * -0.07) = 2.7 1 + 0.1x + (3.5 + -0.07x) = 2.7 Reorder the terms: 1 + 3.5 + 0.1x + -0.07x = 2.7 Combine like terms: 1 + 3.5 = 4.5 4.5 + 0.1x + -0.07x = 2.7 Combine like terms: 0.1x + -0.07x = 0.03x 4.5 + 0.03x = 2.7 Solving 4.5 + 0.03x = 2.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.03x = 2.7 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.03x = 2.7 + -4.5 0.03x = 2.7 + -4.5 Combine like terms: 2.7 + -4.5 = -1.8 0.03x = -1.8 Divide each side by '0.03'. x = -60 Simplifying x = -60
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