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Simplifying (0.10x + 15) = (0.15x + 10) Reorder the terms: (15 + 0.10x) = (0.15x + 10) Remove parenthesis around (15 + 0.10x) 15 + 0.10x = (0.15x + 10) Reorder the terms: 15 + 0.10x = (10 + 0.15x) Remove parenthesis around (10 + 0.15x) 15 + 0.10x = 10 + 0.15x Solving 15 + 0.10x = 10 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 15 + 0.10x + -0.15x = 10 + 0.15x + -0.15x Combine like terms: 0.10x + -0.15x = -0.05x 15 + -0.05x = 10 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 15 + -0.05x = 10 + 0.00 15 + -0.05x = 10 Add '-15' to each side of the equation. 15 + -15 + -0.05x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + -0.05x = 10 + -15 -0.05x = 10 + -15 Combine like terms: 10 + -15 = -5 -0.05x = -5 Divide each side by '-0.05'. x = 100 Simplifying x = 100
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