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Simplifying 0x + 0.50(18) = 0.10(x + 18) Anything times zero is zero. 0x + 0.50(18) = 0.10(x + 18) Multiply 0.50 * 18 0 + 9 = 0.10(x + 18) Combine like terms: 0 + 9 = 9 9 = 0.10(x + 18) Reorder the terms: 9 = 0.10(18 + x) 9 = (18 * 0.10 + x * 0.10) 9 = (1.8 + 0.10x) Solving 9 = 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. 9 + -0.10x = 1.8 + 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 9 + -0.10x = 1.8 + 0.00 9 + -0.10x = 1.8 Add '-9' to each side of the equation. 9 + -9 + -0.10x = 1.8 + -9 Combine like terms: 9 + -9 = 0 0 + -0.10x = 1.8 + -9 -0.10x = 1.8 + -9 Combine like terms: 1.8 + -9 = -7.2 -0.10x = -7.2 Divide each side by '-0.10'. x = 72 Simplifying x = 72
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