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Simplifying -4(-3x + 2) = 8(4x + -6) Reorder the terms: -4(2 + -3x) = 8(4x + -6) (2 * -4 + -3x * -4) = 8(4x + -6) (-8 + 12x) = 8(4x + -6) Reorder the terms: -8 + 12x = 8(-6 + 4x) -8 + 12x = (-6 * 8 + 4x * 8) -8 + 12x = (-48 + 32x) Solving -8 + 12x = -48 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -8 + 12x + -32x = -48 + 32x + -32x Combine like terms: 12x + -32x = -20x -8 + -20x = -48 + 32x + -32x Combine like terms: 32x + -32x = 0 -8 + -20x = -48 + 0 -8 + -20x = -48 Add '8' to each side of the equation. -8 + 8 + -20x = -48 + 8 Combine like terms: -8 + 8 = 0 0 + -20x = -48 + 8 -20x = -48 + 8 Combine like terms: -48 + 8 = -40 -20x = -40 Divide each side by '-20'. x = 2 Simplifying x = 2
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