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Simplifying 0.30x + 0.5(18 + -1x) = 0.10(14) 0.30x + (18 * 0.5 + -1x * 0.5) = 0.10(14) 0.30x + (9 + -0.5x) = 0.10(14) Reorder the terms: 9 + 0.30x + -0.5x = 0.10(14) Combine like terms: 0.30x + -0.5x = -0.2x 9 + -0.2x = 0.10(14) Multiply 0.10 * 14 9 + -0.2x = 1.4 Solving 9 + -0.2x = 1.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -0.2x = 1.4 + -9 Combine like terms: 9 + -9 = 0 0 + -0.2x = 1.4 + -9 -0.2x = 1.4 + -9 Combine like terms: 1.4 + -9 = -7.6 -0.2x = -7.6 Divide each side by '-0.2'. x = 38 Simplifying x = 38
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