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Simplifying (13x + -21) = (5x + 75) Reorder the terms: (-21 + 13x) = (5x + 75) Remove parenthesis around (-21 + 13x) -21 + 13x = (5x + 75) Reorder the terms: -21 + 13x = (75 + 5x) Remove parenthesis around (75 + 5x) -21 + 13x = 75 + 5x Solving -21 + 13x = 75 + 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 + 13x + -5x = 75 + 5x + -5x Combine like terms: 13x + -5x = 8x -21 + 8x = 75 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 8x = 75 + 0 -21 + 8x = 75 Add '21' to each side of the equation. -21 + 21 + 8x = 75 + 21 Combine like terms: -21 + 21 = 0 0 + 8x = 75 + 21 8x = 75 + 21 Combine like terms: 75 + 21 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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