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Simplifying (7x + -13) = (4x + 5) Reorder the terms: (-13 + 7x) = (4x + 5) Remove parenthesis around (-13 + 7x) -13 + 7x = (4x + 5) Reorder the terms: -13 + 7x = (5 + 4x) Remove parenthesis around (5 + 4x) -13 + 7x = 5 + 4x Solving -13 + 7x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -13 + 7x + -4x = 5 + 4x + -4x Combine like terms: 7x + -4x = 3x -13 + 3x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -13 + 3x = 5 + 0 -13 + 3x = 5 Add '13' to each side of the equation. -13 + 13 + 3x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 3x = 5 + 13 3x = 5 + 13 Combine like terms: 5 + 13 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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