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Simplifying 4(3x + -6) = -8(x + 7) + -2(4) Reorder the terms: 4(-6 + 3x) = -8(x + 7) + -2(4) (-6 * 4 + 3x * 4) = -8(x + 7) + -2(4) (-24 + 12x) = -8(x + 7) + -2(4) Reorder the terms: -24 + 12x = -8(7 + x) + -2(4) -24 + 12x = (7 * -8 + x * -8) + -2(4) -24 + 12x = (-56 + -8x) + -2(4) Multiply -2 * 4 -24 + 12x = -56 + -8x + -8 Reorder the terms: -24 + 12x = -56 + -8 + -8x Combine like terms: -56 + -8 = -64 -24 + 12x = -64 + -8x Solving -24 + 12x = -64 + -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. -24 + 12x + 8x = -64 + -8x + 8x Combine like terms: 12x + 8x = 20x -24 + 20x = -64 + -8x + 8x Combine like terms: -8x + 8x = 0 -24 + 20x = -64 + 0 -24 + 20x = -64 Add '24' to each side of the equation. -24 + 24 + 20x = -64 + 24 Combine like terms: -24 + 24 = 0 0 + 20x = -64 + 24 20x = -64 + 24 Combine like terms: -64 + 24 = -40 20x = -40 Divide each side by '20'. x = -2 Simplifying x = -2
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