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Simplifying 6x + -2 = 8x + 14 + -6x Reorder the terms: -2 + 6x = 8x + 14 + -6x Reorder the terms: -2 + 6x = 14 + 8x + -6x Combine like terms: 8x + -6x = 2x -2 + 6x = 14 + 2x Solving -2 + 6x = 14 + 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. -2 + 6x + -2x = 14 + 2x + -2x Combine like terms: 6x + -2x = 4x -2 + 4x = 14 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 4x = 14 + 0 -2 + 4x = 14 Add '2' to each side of the equation. -2 + 2 + 4x = 14 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 14 + 2 4x = 14 + 2 Combine like terms: 14 + 2 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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