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Simplifying 5x + 14 = 4x + 31 Reorder the terms: 14 + 5x = 4x + 31 Reorder the terms: 14 + 5x = 31 + 4x Solving 14 + 5x = 31 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 14 + 5x + -4x = 31 + 4x + -4x Combine like terms: 5x + -4x = 1x 14 + 1x = 31 + 4x + -4x Combine like terms: 4x + -4x = 0 14 + 1x = 31 + 0 14 + 1x = 31 Add '-14' to each side of the equation. 14 + -14 + 1x = 31 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 31 + -14 1x = 31 + -14 Combine like terms: 31 + -14 = 17 1x = 17 Divide each side by '1'. x = 17 Simplifying x = 17
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