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Simplifying 1.5x + 3 = 2.5x + -2 Reorder the terms: 3 + 1.5x = 2.5x + -2 Reorder the terms: 3 + 1.5x = -2 + 2.5x Solving 3 + 1.5x = -2 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 3 + 1.5x + -2.5x = -2 + 2.5x + -2.5x Combine like terms: 1.5x + -2.5x = -1x 3 + -1x = -2 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 3 + -1x = -2 + 0.0 3 + -1x = -2 Add '-3' to each side of the equation. 3 + -3 + -1x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -2 + -3 -1x = -2 + -3 Combine like terms: -2 + -3 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5
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