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Simplifying 0.3(6) + 0.05x = 0.1(24 + x) Multiply 0.3 * 6 1.8 + 0.05x = 0.1(24 + x) 1.8 + 0.05x = (24 * 0.1 + x * 0.1) 1.8 + 0.05x = (2.4 + 0.1x) Solving 1.8 + 0.05x = 2.4 + 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. 1.8 + 0.05x + -0.1x = 2.4 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 1.8 + -0.05x = 2.4 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 1.8 + -0.05x = 2.4 + 0.0 1.8 + -0.05x = 2.4 Add '-1.8' to each side of the equation. 1.8 + -1.8 + -0.05x = 2.4 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -0.05x = 2.4 + -1.8 -0.05x = 2.4 + -1.8 Combine like terms: 2.4 + -1.8 = 0.6 -0.05x = 0.6 Divide each side by '-0.05'. x = -12 Simplifying x = -12
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