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Simplifying -9(x + -1) = -7x + 1 Reorder the terms: -9(-1 + x) = -7x + 1 (-1 * -9 + x * -9) = -7x + 1 (9 + -9x) = -7x + 1 Reorder the terms: 9 + -9x = 1 + -7x Solving 9 + -9x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 9 + -9x + 7x = 1 + -7x + 7x Combine like terms: -9x + 7x = -2x 9 + -2x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 9 + -2x = 1 + 0 9 + -2x = 1 Add '-9' to each side of the equation. 9 + -9 + -2x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 1 + -9 -2x = 1 + -9 Combine like terms: 1 + -9 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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