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Simplifying 2(-1x + -8) = -6(-4x + 7) Reorder the terms: 2(-8 + -1x) = -6(-4x + 7) (-8 * 2 + -1x * 2) = -6(-4x + 7) (-16 + -2x) = -6(-4x + 7) Reorder the terms: -16 + -2x = -6(7 + -4x) -16 + -2x = (7 * -6 + -4x * -6) -16 + -2x = (-42 + 24x) Solving -16 + -2x = -42 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -16 + -2x + -24x = -42 + 24x + -24x Combine like terms: -2x + -24x = -26x -16 + -26x = -42 + 24x + -24x Combine like terms: 24x + -24x = 0 -16 + -26x = -42 + 0 -16 + -26x = -42 Add '16' to each side of the equation. -16 + 16 + -26x = -42 + 16 Combine like terms: -16 + 16 = 0 0 + -26x = -42 + 16 -26x = -42 + 16 Combine like terms: -42 + 16 = -26 -26x = -26 Divide each side by '-26'. x = 1 Simplifying x = 1
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