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Simplifying 6x + 14 = 32 + -12x Reorder the terms: 14 + 6x = 32 + -12x Solving 14 + 6x = 32 + -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. 14 + 6x + 12x = 32 + -12x + 12x Combine like terms: 6x + 12x = 18x 14 + 18x = 32 + -12x + 12x Combine like terms: -12x + 12x = 0 14 + 18x = 32 + 0 14 + 18x = 32 Add '-14' to each side of the equation. 14 + -14 + 18x = 32 + -14 Combine like terms: 14 + -14 = 0 0 + 18x = 32 + -14 18x = 32 + -14 Combine like terms: 32 + -14 = 18 18x = 18 Divide each side by '18'. x = 1 Simplifying x = 1
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