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Simplifying (5x + -3) + -1(3x + 4) = 13 Reorder the terms: (-3 + 5x) + -1(3x + 4) = 13 Remove parenthesis around (-3 + 5x) -3 + 5x + -1(3x + 4) = 13 Reorder the terms: -3 + 5x + -1(4 + 3x) = 13 -3 + 5x + (4 * -1 + 3x * -1) = 13 -3 + 5x + (-4 + -3x) = 13 Reorder the terms: -3 + -4 + 5x + -3x = 13 Combine like terms: -3 + -4 = -7 -7 + 5x + -3x = 13 Combine like terms: 5x + -3x = 2x -7 + 2x = 13 Solving -7 + 2x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2x = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 13 + 7 2x = 13 + 7 Combine like terms: 13 + 7 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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