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Simplifying -4x + 22 = -5x + 7 Reorder the terms: 22 + -4x = -5x + 7 Reorder the terms: 22 + -4x = 7 + -5x Solving 22 + -4x = 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. 22 + -4x + 5x = 7 + -5x + 5x Combine like terms: -4x + 5x = 1x 22 + 1x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 22 + 1x = 7 + 0 22 + 1x = 7 Add '-22' to each side of the equation. 22 + -22 + 1x = 7 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 7 + -22 1x = 7 + -22 Combine like terms: 7 + -22 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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