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Simplifying 10 + 14x + -14 = (12 + 8x) + 2 Reorder the terms: 10 + -14 + 14x = (12 + 8x) + 2 Combine like terms: 10 + -14 = -4 -4 + 14x = (12 + 8x) + 2 Remove parenthesis around (12 + 8x) -4 + 14x = 12 + 8x + 2 Reorder the terms: -4 + 14x = 12 + 2 + 8x Combine like terms: 12 + 2 = 14 -4 + 14x = 14 + 8x Solving -4 + 14x = 14 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 14x + -8x = 14 + 8x + -8x Combine like terms: 14x + -8x = 6x -4 + 6x = 14 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + 6x = 14 + 0 -4 + 6x = 14 Add '4' to each side of the equation. -4 + 4 + 6x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 6x = 14 + 4 6x = 14 + 4 Combine like terms: 14 + 4 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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