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Simplifying -5x + 2 = 7x + 14 Reorder the terms: 2 + -5x = 7x + 14 Reorder the terms: 2 + -5x = 14 + 7x Solving 2 + -5x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + -5x + -7x = 14 + 7x + -7x Combine like terms: -5x + -7x = -12x 2 + -12x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -12x = 14 + 0 2 + -12x = 14 Add '-2' to each side of the equation. 2 + -2 + -12x = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = 14 + -2 -12x = 14 + -2 Combine like terms: 14 + -2 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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