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Simplifying 2x + -3x + 1 = (5x + 1) Reorder the terms: 1 + 2x + -3x = (5x + 1) Combine like terms: 2x + -3x = -1x 1 + -1x = (5x + 1) Reorder the terms: 1 + -1x = (1 + 5x) Remove parenthesis around (1 + 5x) 1 + -1x = 1 + 5x Add '-1' to each side of the equation. 1 + -1 + -1x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 0 + -1x = 1 + -1 + 5x -1x = 1 + -1 + 5x Combine like terms: 1 + -1 = 0 -1x = 0 + 5x -1x = 5x Solving -1x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1x + -5x = 5x + -5x Combine like terms: -1x + -5x = -6x -6x = 5x + -5x Combine like terms: 5x + -5x = 0 -6x = 0 Divide each side by '-6'. x = 0 Simplifying x = 0
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