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Simplifying -4(2 + 2x) = 4(3x + 3) (2 * -4 + 2x * -4) = 4(3x + 3) (-8 + -8x) = 4(3x + 3) Reorder the terms: -8 + -8x = 4(3 + 3x) -8 + -8x = (3 * 4 + 3x * 4) -8 + -8x = (12 + 12x) Solving -8 + -8x = 12 + 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. -8 + -8x + -12x = 12 + 12x + -12x Combine like terms: -8x + -12x = -20x -8 + -20x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -8 + -20x = 12 + 0 -8 + -20x = 12 Add '8' to each side of the equation. -8 + 8 + -20x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -20x = 12 + 8 -20x = 12 + 8 Combine like terms: 12 + 8 = 20 -20x = 20 Divide each side by '-20'. x = -1 Simplifying x = -1
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