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Simplifying -2x + 8x + -6 = 3x + -5x + 10 Reorder the terms: -6 + -2x + 8x = 3x + -5x + 10 Combine like terms: -2x + 8x = 6x -6 + 6x = 3x + -5x + 10 Reorder the terms: -6 + 6x = 10 + 3x + -5x Combine like terms: 3x + -5x = -2x -6 + 6x = 10 + -2x Solving -6 + 6x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -6 + 6x + 2x = 10 + -2x + 2x Combine like terms: 6x + 2x = 8x -6 + 8x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 8x = 10 + 0 -6 + 8x = 10 Add '6' to each side of the equation. -6 + 6 + 8x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 8x = 10 + 6 8x = 10 + 6 Combine like terms: 10 + 6 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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