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