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Simplifying 3x + -4x + 3 = 5x + 2 + 1 Reorder the terms: 3 + 3x + -4x = 5x + 2 + 1 Combine like terms: 3x + -4x = -1x 3 + -1x = 5x + 2 + 1 Reorder the terms: 3 + -1x = 2 + 1 + 5x Combine like terms: 2 + 1 = 3 3 + -1x = 3 + 5x Add '-3' to each side of the equation. 3 + -3 + -1x = 3 + -3 + 5x Combine like terms: 3 + -3 = 0 0 + -1x = 3 + -3 + 5x -1x = 3 + -3 + 5x Combine like terms: 3 + -3 = 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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