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Simplifying 0.30(6) + 0.05 = 0.10(18 + x) Multiply 0.30 * 6 1.8 + 0.05 = 0.10(18 + x) Combine like terms: 1.8 + 0.05 = 1.85 1.85 = 0.10(18 + x) 1.85 = (18 * 0.10 + x * 0.10) 1.85 = (1.8 + 0.10x) Solving 1.85 = 1.8 + 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. 1.85 + -0.10x = 1.8 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 1.85 + -0.10x = 1.8 + 0.00 1.85 + -0.10x = 1.8 Add '-1.85' to each side of the equation. 1.85 + -1.85 + -0.10x = 1.8 + -1.85 Combine like terms: 1.85 + -1.85 = 0.00 0.00 + -0.10x = 1.8 + -1.85 -0.10x = 1.8 + -1.85 Combine like terms: 1.8 + -1.85 = -0.05 -0.10x = -0.05 Divide each side by '-0.10'. x = 0.5 Simplifying x = 0.5
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