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Simplifying 7x + -1(x2 + -1x + -9) = 17 + -1x2 Reorder the terms: 7x + -1(-9 + -1x + x2) = 17 + -1x2 7x + (-9 * -1 + -1x * -1 + x2 * -1) = 17 + -1x2 7x + (9 + 1x + -1x2) = 17 + -1x2 Reorder the terms: 9 + 7x + 1x + -1x2 = 17 + -1x2 Combine like terms: 7x + 1x = 8x 9 + 8x + -1x2 = 17 + -1x2 Add 'x2' to each side of the equation. 9 + 8x + -1x2 + x2 = 17 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 9 + 8x + 0 = 17 + -1x2 + x2 9 + 8x = 17 + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 9 + 8x = 17 + 0 9 + 8x = 17 Solving 9 + 8x = 17 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 8x = 17 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = 17 + -9 8x = 17 + -9 Combine like terms: 17 + -9 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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