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Simplifying 7(7x + -8) = -7(7 + -8x) + -6x Reorder the terms: 7(-8 + 7x) = -7(7 + -8x) + -6x (-8 * 7 + 7x * 7) = -7(7 + -8x) + -6x (-56 + 49x) = -7(7 + -8x) + -6x -56 + 49x = (7 * -7 + -8x * -7) + -6x -56 + 49x = (-49 + 56x) + -6x Combine like terms: 56x + -6x = 50x -56 + 49x = -49 + 50x Solving -56 + 49x = -49 + 50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50x' to each side of the equation. -56 + 49x + -50x = -49 + 50x + -50x Combine like terms: 49x + -50x = -1x -56 + -1x = -49 + 50x + -50x Combine like terms: 50x + -50x = 0 -56 + -1x = -49 + 0 -56 + -1x = -49 Add '56' to each side of the equation. -56 + 56 + -1x = -49 + 56 Combine like terms: -56 + 56 = 0 0 + -1x = -49 + 56 -1x = -49 + 56 Combine like terms: -49 + 56 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7
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