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Simplifying 0.2x = 30 + 0.05(x + -150) Reorder the terms: 0.2x = 30 + 0.05(-150 + x) 0.2x = 30 + (-150 * 0.05 + x * 0.05) 0.2x = 30 + (-7.5 + 0.05x) Combine like terms: 30 + -7.5 = 22.5 0.2x = 22.5 + 0.05x Solving 0.2x = 22.5 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 0.2x + -0.05x = 22.5 + 0.05x + -0.05x Combine like terms: 0.2x + -0.05x = 0.15x 0.15x = 22.5 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.15x = 22.5 + 0.00 0.15x = 22.5 Divide each side by '0.15'. x = 150 Simplifying x = 150
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