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Simplifying 0.5x + 4 = 2.5x + 2 Reorder the terms: 4 + 0.5x = 2.5x + 2 Reorder the terms: 4 + 0.5x = 2 + 2.5x Solving 4 + 0.5x = 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. 4 + 0.5x + -2.5x = 2 + 2.5x + -2.5x Combine like terms: 0.5x + -2.5x = -2x 4 + -2x = 2 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 4 + -2x = 2 + 0.0 4 + -2x = 2 Add '-4' to each side of the equation. 4 + -4 + -2x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 2 + -4 -2x = 2 + -4 Combine like terms: 2 + -4 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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