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Simplifying 2.5x + 7 + -1.5x = 9.5 + -3.5 Reorder the terms: 7 + 2.5x + -1.5x = 9.5 + -3.5 Combine like terms: 2.5x + -1.5x = 1x 7 + 1x = 9.5 + -3.5 Combine like terms: 9.5 + -3.5 = 6 7 + 1x = 6 Solving 7 + 1x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 6 + -7 1x = 6 + -7 Combine like terms: 6 + -7 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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