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Simplifying 5x + 2.5 = 2x + 4.0 Reorder the terms: 2.5 + 5x = 2x + 4.0 Reorder the terms: 2.5 + 5x = 4.0 + 2x Solving 2.5 + 5x = 4.0 + 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 + 5x + -2x = 4.0 + 2x + -2x Combine like terms: 5x + -2x = 3x 2.5 + 3x = 4.0 + 2x + -2x Combine like terms: 2x + -2x = 0 2.5 + 3x = 4.0 + 0 2.5 + 3x = 4.0 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 3x = 4.0 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 3x = 4.0 + -2.5 3x = 4.0 + -2.5 Combine like terms: 4.0 + -2.5 = 1.5 3x = 1.5 Divide each side by '3'. x = 0.5 Simplifying x = 0.5
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