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Simplifying x + 2 + -5x = 1 + 5x + 1 Reorder the terms: 2 + x + -5x = 1 + 5x + 1 Combine like terms: x + -5x = -4x 2 + -4x = 1 + 5x + 1 Reorder the terms: 2 + -4x = 1 + 1 + 5x Combine like terms: 1 + 1 = 2 2 + -4x = 2 + 5x Add '-2' to each side of the equation. 2 + -2 + -4x = 2 + -2 + 5x Combine like terms: 2 + -2 = 0 0 + -4x = 2 + -2 + 5x -4x = 2 + -2 + 5x Combine like terms: 2 + -2 = 0 -4x = 0 + 5x -4x = 5x Solving -4x = 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. -4x + -5x = 5x + -5x Combine like terms: -4x + -5x = -9x -9x = 5x + -5x Combine like terms: 5x + -5x = 0 -9x = 0 Divide each side by '-9'. x = 0 Simplifying x = 0
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