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Simplifying 0.12(x + -10) + -0.05(x + -30) = -1.80 Reorder the terms: 0.12(-10 + x) + -0.05(x + -30) = -1.80 (-10 * 0.12 + x * 0.12) + -0.05(x + -30) = -1.80 (-1.2 + 0.12x) + -0.05(x + -30) = -1.80 Reorder the terms: -1.2 + 0.12x + -0.05(-30 + x) = -1.80 -1.2 + 0.12x + (-30 * -0.05 + x * -0.05) = -1.80 -1.2 + 0.12x + (1.5 + -0.05x) = -1.80 Reorder the terms: -1.2 + 1.5 + 0.12x + -0.05x = -1.80 Combine like terms: -1.2 + 1.5 = 0.3 0.3 + 0.12x + -0.05x = -1.80 Combine like terms: 0.12x + -0.05x = 0.07x 0.3 + 0.07x = -1.80 Solving 0.3 + 0.07x = -1.80 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.07x = -1.80 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.07x = -1.80 + -0.3 0.07x = -1.80 + -0.3 Combine like terms: -1.80 + -0.3 = -2.1 0.07x = -2.1 Divide each side by '0.07'. x = -30 Simplifying x = -30
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