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Simplifying 0.2x + -0.05(x + -100) = 35 Reorder the terms: 0.2x + -0.05(-100 + x) = 35 0.2x + (-100 * -0.05 + x * -0.05) = 35 0.2x + (5 + -0.05x) = 35 Reorder the terms: 5 + 0.2x + -0.05x = 35 Combine like terms: 0.2x + -0.05x = 0.15x 5 + 0.15x = 35 Solving 5 + 0.15x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 0.15x = 35 + -5 Combine like terms: 5 + -5 = 0 0 + 0.15x = 35 + -5 0.15x = 35 + -5 Combine like terms: 35 + -5 = 30 0.15x = 30 Divide each side by '0.15'. x = 200 Simplifying x = 200
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