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Simplifying 8x + 22 = 5x + 13 Reorder the terms: 22 + 8x = 5x + 13 Reorder the terms: 22 + 8x = 13 + 5x Solving 22 + 8x = 13 + 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 + 8x + -5x = 13 + 5x + -5x Combine like terms: 8x + -5x = 3x 22 + 3x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 22 + 3x = 13 + 0 22 + 3x = 13 Add '-22' to each side of the equation. 22 + -22 + 3x = 13 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 13 + -22 3x = 13 + -22 Combine like terms: 13 + -22 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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