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Simplifying (7x + -21) = (5x + 13) Reorder the terms: (-21 + 7x) = (5x + 13) Remove parenthesis around (-21 + 7x) -21 + 7x = (5x + 13) Reorder the terms: -21 + 7x = (13 + 5x) Remove parenthesis around (13 + 5x) -21 + 7x = 13 + 5x Solving -21 + 7x = 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. -21 + 7x + -5x = 13 + 5x + -5x Combine like terms: 7x + -5x = 2x -21 + 2x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 2x = 13 + 0 -21 + 2x = 13 Add '21' to each side of the equation. -21 + 21 + 2x = 13 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = 13 + 21 2x = 13 + 21 Combine like terms: 13 + 21 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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