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Simplifying (5x + 2) + -1 = (1 + -2x) Reorder the terms: (2 + 5x) + -1 = (1 + -2x) Remove parenthesis around (2 + 5x) 2 + 5x + -1 = (1 + -2x) Reorder the terms: 2 + -1 + 5x = (1 + -2x) Combine like terms: 2 + -1 = 1 1 + 5x = (1 + -2x) Remove parenthesis around (1 + -2x) 1 + 5x = 1 + -2x Add '-1' to each side of the equation. 1 + -1 + 5x = 1 + -1 + -2x Combine like terms: 1 + -1 = 0 0 + 5x = 1 + -1 + -2x 5x = 1 + -1 + -2x Combine like terms: 1 + -1 = 0 5x = 0 + -2x 5x = -2x Solving 5x = -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. 5x + 2x = -2x + 2x Combine like terms: 5x + 2x = 7x 7x = -2x + 2x Combine like terms: -2x + 2x = 0 7x = 0 Divide each side by '7'. x = 0 Simplifying x = 0
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