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Simplifying 2x + 14 = 7x + -31 Reorder the terms: 14 + 2x = 7x + -31 Reorder the terms: 14 + 2x = -31 + 7x Solving 14 + 2x = -31 + 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. 14 + 2x + -7x = -31 + 7x + -7x Combine like terms: 2x + -7x = -5x 14 + -5x = -31 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -5x = -31 + 0 14 + -5x = -31 Add '-14' to each side of the equation. 14 + -14 + -5x = -31 + -14 Combine like terms: 14 + -14 = 0 0 + -5x = -31 + -14 -5x = -31 + -14 Combine like terms: -31 + -14 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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