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Simplifying 0.20(6) + 0.05x = 0.10(18 + x) Multiply 0.20 * 6 1.2 + 0.05x = 0.10(18 + x) 1.2 + 0.05x = (18 * 0.10 + x * 0.10) 1.2 + 0.05x = (1.8 + 0.10x) Solving 1.2 + 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. 1.2 + 0.05x + -0.10x = 1.8 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 1.2 + -0.05x = 1.8 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 1.2 + -0.05x = 1.8 + 0.00 1.2 + -0.05x = 1.8 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.05x = 1.8 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.05x = 1.8 + -1.2 -0.05x = 1.8 + -1.2 Combine like terms: 1.8 + -1.2 = 0.6 -0.05x = 0.6 Divide each side by '-0.05'. x = -12 Simplifying x = -12
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