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Simplifying 4(3 + -2x) = 2(2x + 6) (3 * 4 + -2x * 4) = 2(2x + 6) (12 + -8x) = 2(2x + 6) Reorder the terms: 12 + -8x = 2(6 + 2x) 12 + -8x = (6 * 2 + 2x * 2) 12 + -8x = (12 + 4x) Add '-12' to each side of the equation. 12 + -12 + -8x = 12 + -12 + 4x Combine like terms: 12 + -12 = 0 0 + -8x = 12 + -12 + 4x -8x = 12 + -12 + 4x Combine like terms: 12 + -12 = 0 -8x = 0 + 4x -8x = 4x Solving -8x = 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -8x + -4x = 4x + -4x Combine like terms: -8x + -4x = -12x -12x = 4x + -4x Combine like terms: 4x + -4x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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