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Simplifying -21 + -1x = 7(6x + -8) + -8 Reorder the terms: -21 + -1x = 7(-8 + 6x) + -8 -21 + -1x = (-8 * 7 + 6x * 7) + -8 -21 + -1x = (-56 + 42x) + -8 Reorder the terms: -21 + -1x = -56 + -8 + 42x Combine like terms: -56 + -8 = -64 -21 + -1x = -64 + 42x Solving -21 + -1x = -64 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -21 + -1x + -42x = -64 + 42x + -42x Combine like terms: -1x + -42x = -43x -21 + -43x = -64 + 42x + -42x Combine like terms: 42x + -42x = 0 -21 + -43x = -64 + 0 -21 + -43x = -64 Add '21' to each side of the equation. -21 + 21 + -43x = -64 + 21 Combine like terms: -21 + 21 = 0 0 + -43x = -64 + 21 -43x = -64 + 21 Combine like terms: -64 + 21 = -43 -43x = -43 Divide each side by '-43'. x = 1 Simplifying x = 1
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