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Simplifying (7x + -3) + -1(4x + 2) = 13 Reorder the terms: (-3 + 7x) + -1(4x + 2) = 13 Remove parenthesis around (-3 + 7x) -3 + 7x + -1(4x + 2) = 13 Reorder the terms: -3 + 7x + -1(2 + 4x) = 13 -3 + 7x + (2 * -1 + 4x * -1) = 13 -3 + 7x + (-2 + -4x) = 13 Reorder the terms: -3 + -2 + 7x + -4x = 13 Combine like terms: -3 + -2 = -5 -5 + 7x + -4x = 13 Combine like terms: 7x + -4x = 3x -5 + 3x = 13 Solving -5 + 3x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 3x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 13 + 5 3x = 13 + 5 Combine like terms: 13 + 5 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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