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Simplifying 0.02x + 0.05(30 + -1x) = 0.04(30) 0.02x + (30 * 0.05 + -1x * 0.05) = 0.04(30) 0.02x + (1.5 + -0.05x) = 0.04(30) Reorder the terms: 1.5 + 0.02x + -0.05x = 0.04(30) Combine like terms: 0.02x + -0.05x = -0.03x 1.5 + -0.03x = 0.04(30) Multiply 0.04 * 30 1.5 + -0.03x = 1.2 Solving 1.5 + -0.03x = 1.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.03x = 1.2 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.03x = 1.2 + -1.5 -0.03x = 1.2 + -1.5 Combine like terms: 1.2 + -1.5 = -0.3 -0.03x = -0.3 Divide each side by '-0.03'. x = 10 Simplifying x = 10
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