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Simplifying -1(7x + 1) + -1(-5x + 9) = 0 Reorder the terms: -1(1 + 7x) + -1(-5x + 9) = 0 (1 * -1 + 7x * -1) + -1(-5x + 9) = 0 (-1 + -7x) + -1(-5x + 9) = 0 Reorder the terms: -1 + -7x + -1(9 + -5x) = 0 -1 + -7x + (9 * -1 + -5x * -1) = 0 -1 + -7x + (-9 + 5x) = 0 Reorder the terms: -1 + -9 + -7x + 5x = 0 Combine like terms: -1 + -9 = -10 -10 + -7x + 5x = 0 Combine like terms: -7x + 5x = -2x -10 + -2x = 0 Solving -10 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -2x = 0 + 10 -2x = 0 + 10 Combine like terms: 0 + 10 = 10 -2x = 10 Divide each side by '-2'. x = -5 Simplifying x = -5
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