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