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