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Simplifying 0.03(10 + -1x) + 0.3 = 0.05(40) (10 * 0.03 + -1x * 0.03) + 0.3 = 0.05(40) (0.3 + -0.03x) + 0.3 = 0.05(40) Reorder the terms: 0.3 + 0.3 + -0.03x = 0.05(40) Combine like terms: 0.3 + 0.3 = 0.6 0.6 + -0.03x = 0.05(40) Multiply 0.05 * 40 0.6 + -0.03x = 2 Solving 0.6 + -0.03x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + -0.03x = 2 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -0.03x = 2 + -0.6 -0.03x = 2 + -0.6 Combine like terms: 2 + -0.6 = 1.4 -0.03x = 1.4 Divide each side by '-0.03'. x = -46.66666667 Simplifying x = -46.66666667
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