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Simplifying 0.08x + -0.03(40 + x) = 0.07(40) 0.08x + (40 * -0.03 + x * -0.03) = 0.07(40) 0.08x + (-1.2 + -0.03x) = 0.07(40) Reorder the terms: -1.2 + 0.08x + -0.03x = 0.07(40) Combine like terms: 0.08x + -0.03x = 0.05x -1.2 + 0.05x = 0.07(40) Multiply 0.07 * 40 -1.2 + 0.05x = 2.8 Solving -1.2 + 0.05x = 2.8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.05x = 2.8 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.05x = 2.8 + 1.2 0.05x = 2.8 + 1.2 Combine like terms: 2.8 + 1.2 = 4 0.05x = 4 Divide each side by '0.05'. x = 80 Simplifying x = 80
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