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Simplifying 0.20(24) + 0.05 = 0.10(12 + x) Multiply 0.20 * 24 4.8 + 0.05 = 0.10(12 + x) Combine like terms: 4.8 + 0.05 = 4.85 4.85 = 0.10(12 + x) 4.85 = (12 * 0.10 + x * 0.10) 4.85 = (1.2 + 0.10x) Solving 4.85 = 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. 4.85 + -0.10x = 1.2 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 4.85 + -0.10x = 1.2 + 0.00 4.85 + -0.10x = 1.2 Add '-4.85' to each side of the equation. 4.85 + -4.85 + -0.10x = 1.2 + -4.85 Combine like terms: 4.85 + -4.85 = 0.00 0.00 + -0.10x = 1.2 + -4.85 -0.10x = 1.2 + -4.85 Combine like terms: 1.2 + -4.85 = -3.65 -0.10x = -3.65 Divide each side by '-0.10'. x = 36.5 Simplifying x = 36.5
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