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Simplifying 100 + 0.15x = 150 + 0.10x Solving 100 + 0.15x = 150 + 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 100 + 0.15x + -0.10x = 150 + 0.10x + -0.10x Combine like terms: 0.15x + -0.10x = 0.05x 100 + 0.05x = 150 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 100 + 0.05x = 150 + 0.00 100 + 0.05x = 150 Add '-100' to each side of the equation. 100 + -100 + 0.05x = 150 + -100 Combine like terms: 100 + -100 = 0 0 + 0.05x = 150 + -100 0.05x = 150 + -100 Combine like terms: 150 + -100 = 50 0.05x = 50 Divide each side by '0.05'. x = 1000 Simplifying x = 1000
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