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Simplifying 4x + -13 = 5x + 14 Reorder the terms: -13 + 4x = 5x + 14 Reorder the terms: -13 + 4x = 14 + 5x Solving -13 + 4x = 14 + 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. -13 + 4x + -5x = 14 + 5x + -5x Combine like terms: 4x + -5x = -1x -13 + -1x = 14 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + -1x = 14 + 0 -13 + -1x = 14 Add '13' to each side of the equation. -13 + 13 + -1x = 14 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = 14 + 13 -1x = 14 + 13 Combine like terms: 14 + 13 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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