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Simplifying 2x(-8 + 3x) = 3x(2x + -4) (-8 * 2x + 3x * 2x) = 3x(2x + -4) (-16x + 6x2) = 3x(2x + -4) Reorder the terms: -16x + 6x2 = 3x(-4 + 2x) -16x + 6x2 = (-4 * 3x + 2x * 3x) -16x + 6x2 = (-12x + 6x2) Add '-6x2' to each side of the equation. -16x + 6x2 + -6x2 = -12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -16x + 0 = -12x + 6x2 + -6x2 -16x = -12x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -16x = -12x + 0 -16x = -12x Solving -16x = -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. -16x + 12x = -12x + 12x Combine like terms: -16x + 12x = -4x -4x = -12x + 12x Combine like terms: -12x + 12x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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