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Simplifying 4 + 2x + -2 = 6x + 2 + -3x Reorder the terms: 4 + -2 + 2x = 6x + 2 + -3x Combine like terms: 4 + -2 = 2 2 + 2x = 6x + 2 + -3x Reorder the terms: 2 + 2x = 2 + 6x + -3x Combine like terms: 6x + -3x = 3x 2 + 2x = 2 + 3x Add '-2' to each side of the equation. 2 + -2 + 2x = 2 + -2 + 3x Combine like terms: 2 + -2 = 0 0 + 2x = 2 + -2 + 3x 2x = 2 + -2 + 3x Combine like terms: 2 + -2 = 0 2x = 0 + 3x 2x = 3x Solving 2x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -3x = 3x + -3x Combine like terms: 2x + -3x = -1x -1x = 3x + -3x Combine like terms: 3x + -3x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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