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