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Simplifying -4(-1 + -7x) = -8 + 22x (-1 * -4 + -7x * -4) = -8 + 22x (4 + 28x) = -8 + 22x Solving 4 + 28x = -8 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 4 + 28x + -22x = -8 + 22x + -22x Combine like terms: 28x + -22x = 6x 4 + 6x = -8 + 22x + -22x Combine like terms: 22x + -22x = 0 4 + 6x = -8 + 0 4 + 6x = -8 Add '-4' to each side of the equation. 4 + -4 + 6x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -8 + -4 6x = -8 + -4 Combine like terms: -8 + -4 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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