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Simplifying 0.05(x + 50) + -0.04(x + -20) = 2.7 Reorder the terms: 0.05(50 + x) + -0.04(x + -20) = 2.7 (50 * 0.05 + x * 0.05) + -0.04(x + -20) = 2.7 (2.5 + 0.05x) + -0.04(x + -20) = 2.7 Reorder the terms: 2.5 + 0.05x + -0.04(-20 + x) = 2.7 2.5 + 0.05x + (-20 * -0.04 + x * -0.04) = 2.7 2.5 + 0.05x + (0.8 + -0.04x) = 2.7 Reorder the terms: 2.5 + 0.8 + 0.05x + -0.04x = 2.7 Combine like terms: 2.5 + 0.8 = 3.3 3.3 + 0.05x + -0.04x = 2.7 Combine like terms: 0.05x + -0.04x = 0.01x 3.3 + 0.01x = 2.7 Solving 3.3 + 0.01x = 2.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.3' to each side of the equation. 3.3 + -3.3 + 0.01x = 2.7 + -3.3 Combine like terms: 3.3 + -3.3 = 0.0 0.0 + 0.01x = 2.7 + -3.3 0.01x = 2.7 + -3.3 Combine like terms: 2.7 + -3.3 = -0.6 0.01x = -0.6 Divide each side by '0.01'. x = -60 Simplifying x = -60
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