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Simplifying 30 + 0.10x = 20 + 0.15x Solving 30 + 0.10x = 20 + 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. 30 + 0.10x + -0.15x = 20 + 0.15x + -0.15x Combine like terms: 0.10x + -0.15x = -0.05x 30 + -0.05x = 20 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 30 + -0.05x = 20 + 0.00 30 + -0.05x = 20 Add '-30' to each side of the equation. 30 + -30 + -0.05x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -0.05x = 20 + -30 -0.05x = 20 + -30 Combine like terms: 20 + -30 = -10 -0.05x = -10 Divide each side by '-0.05'. x = 200 Simplifying x = 200
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