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Simplifying 14 + 2x = 5(-1x + 3) + -22 Reorder the terms: 14 + 2x = 5(3 + -1x) + -22 14 + 2x = (3 * 5 + -1x * 5) + -22 14 + 2x = (15 + -5x) + -22 Reorder the terms: 14 + 2x = 15 + -22 + -5x Combine like terms: 15 + -22 = -7 14 + 2x = -7 + -5x Solving 14 + 2x = -7 + -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 + 2x + 5x = -7 + -5x + 5x Combine like terms: 2x + 5x = 7x 14 + 7x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 14 + 7x = -7 + 0 14 + 7x = -7 Add '-14' to each side of the equation. 14 + -14 + 7x = -7 + -14 Combine like terms: 14 + -14 = 0 0 + 7x = -7 + -14 7x = -7 + -14 Combine like terms: -7 + -14 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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