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Simplifying 14x + 22 = 13x + 17 Reorder the terms: 22 + 14x = 13x + 17 Reorder the terms: 22 + 14x = 17 + 13x Solving 22 + 14x = 17 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 22 + 14x + -13x = 17 + 13x + -13x Combine like terms: 14x + -13x = 1x 22 + 1x = 17 + 13x + -13x Combine like terms: 13x + -13x = 0 22 + 1x = 17 + 0 22 + 1x = 17 Add '-22' to each side of the equation. 22 + -22 + 1x = 17 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 17 + -22 1x = 17 + -22 Combine like terms: 17 + -22 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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