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Simplifying -7(x + -1) = -9x + 17 Reorder the terms: -7(-1 + x) = -9x + 17 (-1 * -7 + x * -7) = -9x + 17 (7 + -7x) = -9x + 17 Reorder the terms: 7 + -7x = 17 + -9x Solving 7 + -7x = 17 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 7 + -7x + 9x = 17 + -9x + 9x Combine like terms: -7x + 9x = 2x 7 + 2x = 17 + -9x + 9x Combine like terms: -9x + 9x = 0 7 + 2x = 17 + 0 7 + 2x = 17 Add '-7' to each side of the equation. 7 + -7 + 2x = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 17 + -7 2x = 17 + -7 Combine like terms: 17 + -7 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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