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Simplifying -4x + 14 = 5x + -31 Reorder the terms: 14 + -4x = 5x + -31 Reorder the terms: 14 + -4x = -31 + 5x Solving 14 + -4x = -31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + -4x + -5x = -31 + 5x + -5x Combine like terms: -4x + -5x = -9x 14 + -9x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -9x = -31 + 0 14 + -9x = -31 Add '-14' to each side of the equation. 14 + -14 + -9x = -31 + -14 Combine like terms: 14 + -14 = 0 0 + -9x = -31 + -14 -9x = -31 + -14 Combine like terms: -31 + -14 = -45 -9x = -45 Divide each side by '-9'. x = 5 Simplifying x = 5
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