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Simplifying 3x + 35 = 5x + 13 Reorder the terms: 35 + 3x = 5x + 13 Reorder the terms: 35 + 3x = 13 + 5x Solving 35 + 3x = 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. 35 + 3x + -5x = 13 + 5x + -5x Combine like terms: 3x + -5x = -2x 35 + -2x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + -2x = 13 + 0 35 + -2x = 13 Add '-35' to each side of the equation. 35 + -35 + -2x = 13 + -35 Combine like terms: 35 + -35 = 0 0 + -2x = 13 + -35 -2x = 13 + -35 Combine like terms: 13 + -35 = -22 -2x = -22 Divide each side by '-2'. x = 11 Simplifying x = 11
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