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Simplifying (13x + -21) = (8x + -6) Reorder the terms: (-21 + 13x) = (8x + -6) Remove parenthesis around (-21 + 13x) -21 + 13x = (8x + -6) Reorder the terms: -21 + 13x = (-6 + 8x) Remove parenthesis around (-6 + 8x) -21 + 13x = -6 + 8x Solving -21 + 13x = -6 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -21 + 13x + -8x = -6 + 8x + -8x Combine like terms: 13x + -8x = 5x -21 + 5x = -6 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + 5x = -6 + 0 -21 + 5x = -6 Add '21' to each side of the equation. -21 + 21 + 5x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + 5x = -6 + 21 5x = -6 + 21 Combine like terms: -6 + 21 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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