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