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Simplifying 0.05(x + 40) + -0.04(x + -20) = 2.3 Reorder the terms: 0.05(40 + x) + -0.04(x + -20) = 2.3 (40 * 0.05 + x * 0.05) + -0.04(x + -20) = 2.3 (2 + 0.05x) + -0.04(x + -20) = 2.3 Reorder the terms: 2 + 0.05x + -0.04(-20 + x) = 2.3 2 + 0.05x + (-20 * -0.04 + x * -0.04) = 2.3 2 + 0.05x + (0.8 + -0.04x) = 2.3 Reorder the terms: 2 + 0.8 + 0.05x + -0.04x = 2.3 Combine like terms: 2 + 0.8 = 2.8 2.8 + 0.05x + -0.04x = 2.3 Combine like terms: 0.05x + -0.04x = 0.01x 2.8 + 0.01x = 2.3 Solving 2.8 + 0.01x = 2.3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.8' to each side of the equation. 2.8 + -2.8 + 0.01x = 2.3 + -2.8 Combine like terms: 2.8 + -2.8 = 0.0 0.0 + 0.01x = 2.3 + -2.8 0.01x = 2.3 + -2.8 Combine like terms: 2.3 + -2.8 = -0.5 0.01x = -0.5 Divide each side by '0.01'. x = -50 Simplifying x = -50
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