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Simplifying 1.5x + 2.5 = 2x + 1 Reorder the terms: 2.5 + 1.5x = 2x + 1 Reorder the terms: 2.5 + 1.5x = 1 + 2x Solving 2.5 + 1.5x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 2.5 + 1.5x + -2x = 1 + 2x + -2x Combine like terms: 1.5x + -2x = -0.5x 2.5 + -0.5x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 2.5 + -0.5x = 1 + 0 2.5 + -0.5x = 1 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.5x = 1 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.5x = 1 + -2.5 -0.5x = 1 + -2.5 Combine like terms: 1 + -2.5 = -1.5 -0.5x = -1.5 Divide each side by '-0.5'. x = 3 Simplifying x = 3
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