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Simplifying 1.5x + 4 = 2.5x + 7 Reorder the terms: 4 + 1.5x = 2.5x + 7 Reorder the terms: 4 + 1.5x = 7 + 2.5x Solving 4 + 1.5x = 7 + 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. 4 + 1.5x + -2.5x = 7 + 2.5x + -2.5x Combine like terms: 1.5x + -2.5x = -1x 4 + -1x = 7 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 4 + -1x = 7 + 0.0 4 + -1x = 7 Add '-4' to each side of the equation. 4 + -4 + -1x = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 7 + -4 -1x = 7 + -4 Combine like terms: 7 + -4 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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