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Simplifying 0.30(18) + 0.05x = 0.10(12 + x) Multiply 0.30 * 18 5.4 + 0.05x = 0.10(12 + x) 5.4 + 0.05x = (12 * 0.10 + x * 0.10) 5.4 + 0.05x = (1.2 + 0.10x) Solving 5.4 + 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. 5.4 + 0.05x + -0.10x = 1.2 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 5.4 + -0.05x = 1.2 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 5.4 + -0.05x = 1.2 + 0.00 5.4 + -0.05x = 1.2 Add '-5.4' to each side of the equation. 5.4 + -5.4 + -0.05x = 1.2 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + -0.05x = 1.2 + -5.4 -0.05x = 1.2 + -5.4 Combine like terms: 1.2 + -5.4 = -4.2 -0.05x = -4.2 Divide each side by '-0.05'. x = 84 Simplifying x = 84
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