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Simplifying -51 + 13x = 14x + -22 Reorder the terms: -51 + 13x = -22 + 14x Solving -51 + 13x = -22 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -51 + 13x + -14x = -22 + 14x + -14x Combine like terms: 13x + -14x = -1x -51 + -1x = -22 + 14x + -14x Combine like terms: 14x + -14x = 0 -51 + -1x = -22 + 0 -51 + -1x = -22 Add '51' to each side of the equation. -51 + 51 + -1x = -22 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = -22 + 51 -1x = -22 + 51 Combine like terms: -22 + 51 = 29 -1x = 29 Divide each side by '-1'. x = -29 Simplifying x = -29
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