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Simplifying 0.2(6) + 0.05x = 0.1(6 + x) Multiply 0.2 * 6 1.2 + 0.05x = 0.1(6 + x) 1.2 + 0.05x = (6 * 0.1 + x * 0.1) 1.2 + 0.05x = (0.6 + 0.1x) Solving 1.2 + 0.05x = 0.6 + 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. 1.2 + 0.05x + -0.1x = 0.6 + 0.1x + -0.1x Combine like terms: 0.05x + -0.1x = -0.05x 1.2 + -0.05x = 0.6 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 1.2 + -0.05x = 0.6 + 0.0 1.2 + -0.05x = 0.6 Add '-1.2' to each side of the equation. 1.2 + -1.2 + -0.05x = 0.6 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -0.05x = 0.6 + -1.2 -0.05x = 0.6 + -1.2 Combine like terms: 0.6 + -1.2 = -0.6 -0.05x = -0.6 Divide each side by '-0.05'. x = 12 Simplifying x = 12
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