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Simplifying 5x + -22 = 4x + 13 Reorder the terms: -22 + 5x = 4x + 13 Reorder the terms: -22 + 5x = 13 + 4x Solving -22 + 5x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -22 + 5x + -4x = 13 + 4x + -4x Combine like terms: 5x + -4x = 1x -22 + 1x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -22 + 1x = 13 + 0 -22 + 1x = 13 Add '22' to each side of the equation. -22 + 22 + 1x = 13 + 22 Combine like terms: -22 + 22 = 0 0 + 1x = 13 + 22 1x = 13 + 22 Combine like terms: 13 + 22 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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