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Simplifying -7(-1x + -8) = -2(-6x + -8) Reorder the terms: -7(-8 + -1x) = -2(-6x + -8) (-8 * -7 + -1x * -7) = -2(-6x + -8) (56 + 7x) = -2(-6x + -8) Reorder the terms: 56 + 7x = -2(-8 + -6x) 56 + 7x = (-8 * -2 + -6x * -2) 56 + 7x = (16 + 12x) Solving 56 + 7x = 16 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 56 + 7x + -12x = 16 + 12x + -12x Combine like terms: 7x + -12x = -5x 56 + -5x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 56 + -5x = 16 + 0 56 + -5x = 16 Add '-56' to each side of the equation. 56 + -56 + -5x = 16 + -56 Combine like terms: 56 + -56 = 0 0 + -5x = 16 + -56 -5x = 16 + -56 Combine like terms: 16 + -56 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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