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Simplifying 2.5x + 2 = 4x + 5 Reorder the terms: 2 + 2.5x = 4x + 5 Reorder the terms: 2 + 2.5x = 5 + 4x Solving 2 + 2.5x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 2.5x + -4x = 5 + 4x + -4x Combine like terms: 2.5x + -4x = -1.5x 2 + -1.5x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + -1.5x = 5 + 0 2 + -1.5x = 5 Add '-2' to each side of the equation. 2 + -2 + -1.5x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + -1.5x = 5 + -2 -1.5x = 5 + -2 Combine like terms: 5 + -2 = 3 -1.5x = 3 Divide each side by '-1.5'. x = -2 Simplifying x = -2
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