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Simplifying 2.5x + 0.5 = 7.5 + 3.5x Reorder the terms: 0.5 + 2.5x = 7.5 + 3.5x Solving 0.5 + 2.5x = 7.5 + 3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.5x' to each side of the equation. 0.5 + 2.5x + -3.5x = 7.5 + 3.5x + -3.5x Combine like terms: 2.5x + -3.5x = -1x 0.5 + -1x = 7.5 + 3.5x + -3.5x Combine like terms: 3.5x + -3.5x = 0.0 0.5 + -1x = 7.5 + 0.0 0.5 + -1x = 7.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1x = 7.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1x = 7.5 + -0.5 -1x = 7.5 + -0.5 Combine like terms: 7.5 + -0.5 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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