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Simplifying -2x + 5 = 2x + 1 Reorder the terms: 5 + -2x = 2x + 1 Reorder the terms: 5 + -2x = 1 + 2x Solving 5 + -2x = 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. 5 + -2x + -2x = 1 + 2x + -2x Combine like terms: -2x + -2x = -4x 5 + -4x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -4x = 1 + 0 5 + -4x = 1 Add '-5' to each side of the equation. 5 + -5 + -4x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 1 + -5 -4x = 1 + -5 Combine like terms: 1 + -5 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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