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Simplifying 3x + -8 + 2x = 4x + 6 + 8x Reorder the terms: -8 + 3x + 2x = 4x + 6 + 8x Combine like terms: 3x + 2x = 5x -8 + 5x = 4x + 6 + 8x Reorder the terms: -8 + 5x = 6 + 4x + 8x Combine like terms: 4x + 8x = 12x -8 + 5x = 6 + 12x Solving -8 + 5x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -8 + 5x + -12x = 6 + 12x + -12x Combine like terms: 5x + -12x = -7x -8 + -7x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -7x = 6 + 0 -8 + -7x = 6 Add '8' to each side of the equation. -8 + 8 + -7x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 6 + 8 -7x = 6 + 8 Combine like terms: 6 + 8 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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