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Simplifying 2x + -2 + 8x + -4 = 5x + 8 + -1x + 4 Reorder the terms: -2 + -4 + 2x + 8x = 5x + 8 + -1x + 4 Combine like terms: -2 + -4 = -6 -6 + 2x + 8x = 5x + 8 + -1x + 4 Combine like terms: 2x + 8x = 10x -6 + 10x = 5x + 8 + -1x + 4 Reorder the terms: -6 + 10x = 8 + 4 + 5x + -1x Combine like terms: 8 + 4 = 12 -6 + 10x = 12 + 5x + -1x Combine like terms: 5x + -1x = 4x -6 + 10x = 12 + 4x Solving -6 + 10x = 12 + 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. -6 + 10x + -4x = 12 + 4x + -4x Combine like terms: 10x + -4x = 6x -6 + 6x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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