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Simplifying 2(4x + 2) = 4(3x + -1) Reorder the terms: 2(2 + 4x) = 4(3x + -1) (2 * 2 + 4x * 2) = 4(3x + -1) (4 + 8x) = 4(3x + -1) Reorder the terms: 4 + 8x = 4(-1 + 3x) 4 + 8x = (-1 * 4 + 3x * 4) 4 + 8x = (-4 + 12x) Solving 4 + 8x = -4 + 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. 4 + 8x + -12x = -4 + 12x + -12x Combine like terms: 8x + -12x = -4x 4 + -4x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -4x = -4 + 0 4 + -4x = -4 Add '-4' to each side of the equation. 4 + -4 + -4x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -4x = -4 + -4 -4x = -4 + -4 Combine like terms: -4 + -4 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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