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Simplifying 0.2(60) + 0.05x = 0.1(6x + x) Multiply 0.2 * 60 12 + 0.05x = 0.1(6x + x) Combine like terms: 6x + x = 7x 12 + 0.05x = 0.1(7x) Remove parenthesis around (7x) 12 + 0.05x = 0.1 * 7x Multiply 0.1 * 7 12 + 0.05x = 0.7x Solving 12 + 0.05x = 0.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.7x' to each side of the equation. 12 + 0.05x + -0.7x = 0.7x + -0.7x Combine like terms: 0.05x + -0.7x = -0.65x 12 + -0.65x = 0.7x + -0.7x Combine like terms: 0.7x + -0.7x = 0.0 12 + -0.65x = 0.0 Add '-12' to each side of the equation. 12 + -12 + -0.65x = 0.0 + -12 Combine like terms: 12 + -12 = 0 0 + -0.65x = 0.0 + -12 -0.65x = 0.0 + -12 Combine like terms: 0.0 + -12 = -12 -0.65x = -12 Divide each side by '-0.65'. x = 18.46153846 Simplifying x = 18.46153846
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