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Simplifying -4(3x + 4) = 4(2x + 6) Reorder the terms: -4(4 + 3x) = 4(2x + 6) (4 * -4 + 3x * -4) = 4(2x + 6) (-16 + -12x) = 4(2x + 6) Reorder the terms: -16 + -12x = 4(6 + 2x) -16 + -12x = (6 * 4 + 2x * 4) -16 + -12x = (24 + 8x) Solving -16 + -12x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -16 + -12x + -8x = 24 + 8x + -8x Combine like terms: -12x + -8x = -20x -16 + -20x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -16 + -20x = 24 + 0 -16 + -20x = 24 Add '16' to each side of the equation. -16 + 16 + -20x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + -20x = 24 + 16 -20x = 24 + 16 Combine like terms: 24 + 16 = 40 -20x = 40 Divide each side by '-20'. x = -2 Simplifying x = -2
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