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Simplifying -2(4 + 8x) = -6(3x + -1) (4 * -2 + 8x * -2) = -6(3x + -1) (-8 + -16x) = -6(3x + -1) Reorder the terms: -8 + -16x = -6(-1 + 3x) -8 + -16x = (-1 * -6 + 3x * -6) -8 + -16x = (6 + -18x) Solving -8 + -16x = 6 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -8 + -16x + 18x = 6 + -18x + 18x Combine like terms: -16x + 18x = 2x -8 + 2x = 6 + -18x + 18x Combine like terms: -18x + 18x = 0 -8 + 2x = 6 + 0 -8 + 2x = 6 Add '8' to each side of the equation. -8 + 8 + 2x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 6 + 8 2x = 6 + 8 Combine like terms: 6 + 8 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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