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Simplifying 5x + 14 = 3x + -22 Reorder the terms: 14 + 5x = 3x + -22 Reorder the terms: 14 + 5x = -22 + 3x Solving 14 + 5x = -22 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 14 + 5x + -3x = -22 + 3x + -3x Combine like terms: 5x + -3x = 2x 14 + 2x = -22 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + 2x = -22 + 0 14 + 2x = -22 Add '-14' to each side of the equation. 14 + -14 + 2x = -22 + -14 Combine like terms: 14 + -14 = 0 0 + 2x = -22 + -14 2x = -22 + -14 Combine like terms: -22 + -14 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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