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Simplifying 6x + -14 + -4x = 12x + 8 + -6x + 10 Reorder the terms: -14 + 6x + -4x = 12x + 8 + -6x + 10 Combine like terms: 6x + -4x = 2x -14 + 2x = 12x + 8 + -6x + 10 Reorder the terms: -14 + 2x = 8 + 10 + 12x + -6x Combine like terms: 8 + 10 = 18 -14 + 2x = 18 + 12x + -6x Combine like terms: 12x + -6x = 6x -14 + 2x = 18 + 6x Solving -14 + 2x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -14 + 2x + -6x = 18 + 6x + -6x Combine like terms: 2x + -6x = -4x -14 + -4x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -4x = 18 + 0 -14 + -4x = 18 Add '14' to each side of the equation. -14 + 14 + -4x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = 18 + 14 -4x = 18 + 14 Combine like terms: 18 + 14 = 32 -4x = 32 Divide each side by '-4'. x = -8 Simplifying x = -8
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