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Simplifying 5x + -2 + 3x + -4 = 2x + -8 + x + 2 Reorder the terms: -2 + -4 + 5x + 3x = 2x + -8 + x + 2 Combine like terms: -2 + -4 = -6 -6 + 5x + 3x = 2x + -8 + x + 2 Combine like terms: 5x + 3x = 8x -6 + 8x = 2x + -8 + x + 2 Reorder the terms: -6 + 8x = -8 + 2 + 2x + x Combine like terms: -8 + 2 = -6 -6 + 8x = -6 + 2x + x Combine like terms: 2x + x = 3x -6 + 8x = -6 + 3x Add '6' to each side of the equation. -6 + 6 + 8x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + 8x = -6 + 6 + 3x 8x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 8x = 0 + 3x 8x = 3x Solving 8x = 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. 8x + -3x = 3x + -3x Combine like terms: 8x + -3x = 5x 5x = 3x + -3x Combine like terms: 3x + -3x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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