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Simplifying 5x + 35 = 6x + 13 Reorder the terms: 35 + 5x = 6x + 13 Reorder the terms: 35 + 5x = 13 + 6x Solving 35 + 5x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 5x + -6x = 13 + 6x + -6x Combine like terms: 5x + -6x = -1x 35 + -1x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + -1x = 13 + 0 35 + -1x = 13 Add '-35' to each side of the equation. 35 + -35 + -1x = 13 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 13 + -35 -1x = 13 + -35 Combine like terms: 13 + -35 = -22 -1x = -22 Divide each side by '-1'. x = 22 Simplifying x = 22
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