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Simplifying -7(x + -9) = 9x + -17 Reorder the terms: -7(-9 + x) = 9x + -17 (-9 * -7 + x * -7) = 9x + -17 (63 + -7x) = 9x + -17 Reorder the terms: 63 + -7x = -17 + 9x Solving 63 + -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. 63 + -7x + -9x = -17 + 9x + -9x Combine like terms: -7x + -9x = -16x 63 + -16x = -17 + 9x + -9x Combine like terms: 9x + -9x = 0 63 + -16x = -17 + 0 63 + -16x = -17 Add '-63' to each side of the equation. 63 + -63 + -16x = -17 + -63 Combine like terms: 63 + -63 = 0 0 + -16x = -17 + -63 -16x = -17 + -63 Combine like terms: -17 + -63 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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