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Simplifying (3x + 4) + (5x + -7) = 13 Reorder the terms: (4 + 3x) + (5x + -7) = 13 Remove parenthesis around (4 + 3x) 4 + 3x + (5x + -7) = 13 Reorder the terms: 4 + 3x + (-7 + 5x) = 13 Remove parenthesis around (-7 + 5x) 4 + 3x + -7 + 5x = 13 Reorder the terms: 4 + -7 + 3x + 5x = 13 Combine like terms: 4 + -7 = -3 -3 + 3x + 5x = 13 Combine like terms: 3x + 5x = 8x -3 + 8x = 13 Solving -3 + 8x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 8x = 13 + 3 8x = 13 + 3 Combine like terms: 13 + 3 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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