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Simplifying 0.20(12) + 0.05x = 0.10(24 + x) Multiply 0.20 * 12 2.4 + 0.05x = 0.10(24 + x) 2.4 + 0.05x = (24 * 0.10 + x * 0.10) 2.4 + 0.05x = (2.4 + 0.10x) Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.05x = 2.4 + -2.4 + 0.10x Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.05x = 2.4 + -2.4 + 0.10x 0.05x = 2.4 + -2.4 + 0.10x Combine like terms: 2.4 + -2.4 = 0.0 0.05x = 0.0 + 0.10x 0.05x = 0.10x Solving 0.05x = 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. 0.05x + -0.10x = 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x -0.05x = 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 -0.05x = 0.00 Divide each side by '-0.05'. x = 0 Simplifying x = 0
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