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Simplifying 0.05(x + 40) + -0.07(x + -10) = 2.9 Reorder the terms: 0.05(40 + x) + -0.07(x + -10) = 2.9 (40 * 0.05 + x * 0.05) + -0.07(x + -10) = 2.9 (2 + 0.05x) + -0.07(x + -10) = 2.9 Reorder the terms: 2 + 0.05x + -0.07(-10 + x) = 2.9 2 + 0.05x + (-10 * -0.07 + x * -0.07) = 2.9 2 + 0.05x + (0.7 + -0.07x) = 2.9 Reorder the terms: 2 + 0.7 + 0.05x + -0.07x = 2.9 Combine like terms: 2 + 0.7 = 2.7 2.7 + 0.05x + -0.07x = 2.9 Combine like terms: 0.05x + -0.07x = -0.02x 2.7 + -0.02x = 2.9 Solving 2.7 + -0.02x = 2.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7' to each side of the equation. 2.7 + -2.7 + -0.02x = 2.9 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -0.02x = 2.9 + -2.7 -0.02x = 2.9 + -2.7 Combine like terms: 2.9 + -2.7 = 0.2 -0.02x = 0.2 Divide each side by '-0.02'. x = -10 Simplifying x = -10
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