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Simplifying 0.30(24) + 0.05x = 0.1(12 + x) Multiply 0.30 * 24 7.2 + 0.05x = 0.1(12 + x) 7.2 + 0.05x = (12 * 0.1 + x * 0.1) 7.2 + 0.05x = (1.2 + 0.1x) Solving 7.2 + 0.05x = 1.2 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. 7.2 + 0.05x + -0.1x = 1.2 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 7.2 + -0.05x = 1.2 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 7.2 + -0.05x = 1.2 + 0.0 7.2 + -0.05x = 1.2 Add '-7.2' to each side of the equation. 7.2 + -7.2 + -0.05x = 1.2 + -7.2 Combine like terms: 7.2 + -7.2 = 0.0 0.0 + -0.05x = 1.2 + -7.2 -0.05x = 1.2 + -7.2 Combine like terms: 1.2 + -7.2 = -6 -0.05x = -6 Divide each side by '-0.05'. x = 120 Simplifying x = 120
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