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Simplifying 0.03(6) + 0.05x = 0.10(6 + x) Multiply 0.03 * 6 0.18 + 0.05x = 0.10(6 + x) 0.18 + 0.05x = (6 * 0.10 + x * 0.10) 0.18 + 0.05x = (0.6 + 0.10x) Solving 0.18 + 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. 0.18 + 0.05x + -0.10x = 0.6 + 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x 0.18 + -0.05x = 0.6 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 0.18 + -0.05x = 0.6 + 0.00 0.18 + -0.05x = 0.6 Add '-0.18' to each side of the equation. 0.18 + -0.18 + -0.05x = 0.6 + -0.18 Combine like terms: 0.18 + -0.18 = 0.00 0.00 + -0.05x = 0.6 + -0.18 -0.05x = 0.6 + -0.18 Combine like terms: 0.6 + -0.18 = 0.42 -0.05x = 0.42 Divide each side by '-0.05'. x = -8.4 Simplifying x = -8.4
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