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Simplifying 0.30(6) + 0.05x = 0.10(18 + x) Multiply 0.30 * 6 1.8 + 0.05x = 0.10(18 + x) 1.8 + 0.05x = (18 * 0.10 + x * 0.10) 1.8 + 0.05x = (1.8 + 0.10x) Add '-1.8' to each side of the equation. 1.8 + -1.8 + 0.05x = 1.8 + -1.8 + 0.10x Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 0.05x = 1.8 + -1.8 + 0.10x 0.05x = 1.8 + -1.8 + 0.10x Combine like terms: 1.8 + -1.8 = 0.0 0.05x = 0.0 + 0.10x 0.05x = 0.10x Solving 0.05x = 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. 0.05x + -0.10x = 0.10x + -0.10x Combine like terms: 0.05x + -0.10x = -0.05x -0.05x = 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 -0.05x = 0.00 Divide each side by '-0.05'. x = 0 Simplifying x = 0
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