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Simplifying 0.20(24) + 0.05x = 0.10(12 + x) Multiply 0.20 * 24 4.8 + 0.05x = 0.10(12 + x) 4.8 + 0.05x = (12 * 0.10 + x * 0.10) 4.8 + 0.05x = (1.2 + 0.10x) Solving 4.8 + 0.05x = 1.2 + 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. 4.8 + 0.05x + -0.10x = 1.2 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 4.8 + -0.05x = 1.2 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 4.8 + -0.05x = 1.2 + 0.00 4.8 + -0.05x = 1.2 Add '-4.8' to each side of the equation. 4.8 + -4.8 + -0.05x = 1.2 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -0.05x = 1.2 + -4.8 -0.05x = 1.2 + -4.8 Combine like terms: 1.2 + -4.8 = -3.6 -0.05x = -3.6 Divide each side by '-0.05'. x = 72 Simplifying x = 72
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