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Simplifying 7(x + -9) = -7(2 + -8x) Reorder the terms: 7(-9 + x) = -7(2 + -8x) (-9 * 7 + x * 7) = -7(2 + -8x) (-63 + 7x) = -7(2 + -8x) -63 + 7x = (2 * -7 + -8x * -7) -63 + 7x = (-14 + 56x) Solving -63 + 7x = -14 + 56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56x' to each side of the equation. -63 + 7x + -56x = -14 + 56x + -56x Combine like terms: 7x + -56x = -49x -63 + -49x = -14 + 56x + -56x Combine like terms: 56x + -56x = 0 -63 + -49x = -14 + 0 -63 + -49x = -14 Add '63' to each side of the equation. -63 + 63 + -49x = -14 + 63 Combine like terms: -63 + 63 = 0 0 + -49x = -14 + 63 -49x = -14 + 63 Combine like terms: -14 + 63 = 49 -49x = 49 Divide each side by '-49'. x = -1 Simplifying x = -1
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