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Simplifying 0.30(24) + 0.05x = 0.10(18 + x) Multiply 0.30 * 24 7.2 + 0.05x = 0.10(18 + x) 7.2 + 0.05x = (18 * 0.10 + x * 0.10) 7.2 + 0.05x = (1.8 + 0.10x) Solving 7.2 + 0.05x = 1.8 + 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. 7.2 + 0.05x + -0.10x = 1.8 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 7.2 + -0.05x = 1.8 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 7.2 + -0.05x = 1.8 + 0.00 7.2 + -0.05x = 1.8 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -0.05x = 1.8 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -0.05x = 1.8 + -7.2 -0.05x = 1.8 + -7.2 Combine like terms: 1.8 + -7.2 = -5.4 -0.05x = -5.4 Divide each side by '-0.05'. x = 108 Simplifying x = 108
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