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Simplifying 0.5x + 10(34 + -1x) = 2.5 0.5x + (34 * 10 + -1x * 10) = 2.5 0.5x + (340 + -10x) = 2.5 Reorder the terms: 340 + 0.5x + -10x = 2.5 Combine like terms: 0.5x + -10x = -9.5x 340 + -9.5x = 2.5 Solving 340 + -9.5x = 2.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-340' to each side of the equation. 340 + -340 + -9.5x = 2.5 + -340 Combine like terms: 340 + -340 = 0 0 + -9.5x = 2.5 + -340 -9.5x = 2.5 + -340 Combine like terms: 2.5 + -340 = -337.5 -9.5x = -337.5 Divide each side by '-9.5'. x = 35.52631579 Simplifying x = 35.52631579
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