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Simplifying 0.02(12) + 0.05x = 0.10(6 + x) Multiply 0.02 * 12 0.24 + 0.05x = 0.10(6 + x) 0.24 + 0.05x = (6 * 0.10 + x * 0.10) 0.24 + 0.05x = (0.6 + 0.10x) Solving 0.24 + 0.05x = 0.6 + 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. 0.24 + 0.05x + -0.10x = 0.6 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 0.24 + -0.05x = 0.6 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 0.24 + -0.05x = 0.6 + 0.00 0.24 + -0.05x = 0.6 Add '-0.24' to each side of the equation. 0.24 + -0.24 + -0.05x = 0.6 + -0.24 Combine like terms: 0.24 + -0.24 = 0.00 0.00 + -0.05x = 0.6 + -0.24 -0.05x = 0.6 + -0.24 Combine like terms: 0.6 + -0.24 = 0.36 -0.05x = 0.36 Divide each side by '-0.05'. x = -7.2 Simplifying x = -7.2
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