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Simplifying -2(1 + -4x) = 6x + 6(2x + 8) (1 * -2 + -4x * -2) = 6x + 6(2x + 8) (-2 + 8x) = 6x + 6(2x + 8) Reorder the terms: -2 + 8x = 6x + 6(8 + 2x) -2 + 8x = 6x + (8 * 6 + 2x * 6) -2 + 8x = 6x + (48 + 12x) Reorder the terms: -2 + 8x = 48 + 6x + 12x Combine like terms: 6x + 12x = 18x -2 + 8x = 48 + 18x Solving -2 + 8x = 48 + 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. -2 + 8x + -18x = 48 + 18x + -18x Combine like terms: 8x + -18x = -10x -2 + -10x = 48 + 18x + -18x Combine like terms: 18x + -18x = 0 -2 + -10x = 48 + 0 -2 + -10x = 48 Add '2' to each side of the equation. -2 + 2 + -10x = 48 + 2 Combine like terms: -2 + 2 = 0 0 + -10x = 48 + 2 -10x = 48 + 2 Combine like terms: 48 + 2 = 50 -10x = 50 Divide each side by '-10'. x = -5 Simplifying x = -5
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