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Simplifying 5x + -8 + -2x + 14 = 2x + 8 + 2x + -2 Reorder the terms: -8 + 14 + 5x + -2x = 2x + 8 + 2x + -2 Combine like terms: -8 + 14 = 6 6 + 5x + -2x = 2x + 8 + 2x + -2 Combine like terms: 5x + -2x = 3x 6 + 3x = 2x + 8 + 2x + -2 Reorder the terms: 6 + 3x = 8 + -2 + 2x + 2x Combine like terms: 8 + -2 = 6 6 + 3x = 6 + 2x + 2x Combine like terms: 2x + 2x = 4x 6 + 3x = 6 + 4x Add '-6' to each side of the equation. 6 + -6 + 3x = 6 + -6 + 4x Combine like terms: 6 + -6 = 0 0 + 3x = 6 + -6 + 4x 3x = 6 + -6 + 4x Combine like terms: 6 + -6 = 0 3x = 0 + 4x 3x = 4x Solving 3x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3x + -4x = 4x + -4x Combine like terms: 3x + -4x = -1x -1x = 4x + -4x Combine like terms: 4x + -4x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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