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Simplifying 5x + 26 = 3x + 22 Reorder the terms: 26 + 5x = 3x + 22 Reorder the terms: 26 + 5x = 22 + 3x Solving 26 + 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. 26 + 5x + -3x = 22 + 3x + -3x Combine like terms: 5x + -3x = 2x 26 + 2x = 22 + 3x + -3x Combine like terms: 3x + -3x = 0 26 + 2x = 22 + 0 26 + 2x = 22 Add '-26' to each side of the equation. 26 + -26 + 2x = 22 + -26 Combine like terms: 26 + -26 = 0 0 + 2x = 22 + -26 2x = 22 + -26 Combine like terms: 22 + -26 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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