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