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Simplifying -5x + 7x + 14 = 2 + -2x Reorder the terms: 14 + -5x + 7x = 2 + -2x Combine like terms: -5x + 7x = 2x 14 + 2x = 2 + -2x Solving 14 + 2x = 2 + -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. 14 + 2x + 2x = 2 + -2x + 2x Combine like terms: 2x + 2x = 4x 14 + 4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 14 + 4x = 2 + 0 14 + 4x = 2 Add '-14' to each side of the equation. 14 + -14 + 4x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 4x = 2 + -14 4x = 2 + -14 Combine like terms: 2 + -14 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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