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Simplifying -4(2 + 4x) = -2(1 + 8x) + 6x (2 * -4 + 4x * -4) = -2(1 + 8x) + 6x (-8 + -16x) = -2(1 + 8x) + 6x -8 + -16x = (1 * -2 + 8x * -2) + 6x -8 + -16x = (-2 + -16x) + 6x Combine like terms: -16x + 6x = -10x -8 + -16x = -2 + -10x Solving -8 + -16x = -2 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -8 + -16x + 10x = -2 + -10x + 10x Combine like terms: -16x + 10x = -6x -8 + -6x = -2 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + -6x = -2 + 0 -8 + -6x = -2 Add '8' to each side of the equation. -8 + 8 + -6x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -6x = -2 + 8 -6x = -2 + 8 Combine like terms: -2 + 8 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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