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Simplifying 4x + 14 = 5x + 13 Reorder the terms: 14 + 4x = 5x + 13 Reorder the terms: 14 + 4x = 13 + 5x Solving 14 + 4x = 13 + 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 = 13 + 5x + -5x Combine like terms: 4x + -5x = -1x 14 + -1x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + -1x = 13 + 0 14 + -1x = 13 Add '-14' to each side of the equation. 14 + -14 + -1x = 13 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 13 + -14 -1x = 13 + -14 Combine like terms: 13 + -14 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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