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Simplifying 0.10x + 15.00 = 0.15x + 10.00 Reorder the terms: 15.00 + 0.10x = 0.15x + 10.00 Reorder the terms: 15.00 + 0.10x = 10.00 + 0.15x Solving 15.00 + 0.10x = 10.00 + 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. 15.00 + 0.10x + -0.15x = 10.00 + 0.15x + -0.15x Combine like terms: 0.10x + -0.15x = -0.05x 15.00 + -0.05x = 10.00 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 15.00 + -0.05x = 10.00 + 0.00 15.00 + -0.05x = 10.00 Add '-15.00' to each side of the equation. 15.00 + -15.00 + -0.05x = 10.00 + -15.00 Combine like terms: 15.00 + -15.00 = 0.00 0.00 + -0.05x = 10.00 + -15.00 -0.05x = 10.00 + -15.00 Combine like terms: 10.00 + -15.00 = -5 -0.05x = -5 Divide each side by '-0.05'. x = 100 Simplifying x = 100
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