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Simplifying 0.05x + 0.1(x + 290) = 59 Reorder the terms: 0.05x + 0.1(290 + x) = 59 0.05x + (290 * 0.1 + x * 0.1) = 59 0.05x + (29 + 0.1x) = 59 Reorder the terms: 29 + 0.05x + 0.1x = 59 Combine like terms: 0.05x + 0.1x = 0.15x 29 + 0.15x = 59 Solving 29 + 0.15x = 59 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 0.15x = 59 + -29 Combine like terms: 29 + -29 = 0 0 + 0.15x = 59 + -29 0.15x = 59 + -29 Combine like terms: 59 + -29 = 30 0.15x = 30 Divide each side by '0.15'. x = 200 Simplifying x = 200
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