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Simplifying 0.5x + 9 = 1.5x + 7 Reorder the terms: 9 + 0.5x = 1.5x + 7 Reorder the terms: 9 + 0.5x = 7 + 1.5x Solving 9 + 0.5x = 7 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 9 + 0.5x + -1.5x = 7 + 1.5x + -1.5x Combine like terms: 0.5x + -1.5x = -1x 9 + -1x = 7 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 9 + -1x = 7 + 0.0 9 + -1x = 7 Add '-9' to each side of the equation. 9 + -9 + -1x = 7 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 7 + -9 -1x = 7 + -9 Combine like terms: 7 + -9 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2
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