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Simplifying (x + 2)(3x + -4) = 3x(x + -2) Reorder the terms: (2 + x)(3x + -4) = 3x(x + -2) Reorder the terms: (2 + x)(-4 + 3x) = 3x(x + -2) Multiply (2 + x) * (-4 + 3x) (2(-4 + 3x) + x(-4 + 3x)) = 3x(x + -2) ((-4 * 2 + 3x * 2) + x(-4 + 3x)) = 3x(x + -2) ((-8 + 6x) + x(-4 + 3x)) = 3x(x + -2) (-8 + 6x + (-4 * x + 3x * x)) = 3x(x + -2) (-8 + 6x + (-4x + 3x2)) = 3x(x + -2) Combine like terms: 6x + -4x = 2x (-8 + 2x + 3x2) = 3x(x + -2) Reorder the terms: -8 + 2x + 3x2 = 3x(-2 + x) -8 + 2x + 3x2 = (-2 * 3x + x * 3x) -8 + 2x + 3x2 = (-6x + 3x2) Add '-3x2' to each side of the equation. -8 + 2x + 3x2 + -3x2 = -6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -8 + 2x + 0 = -6x + 3x2 + -3x2 -8 + 2x = -6x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -8 + 2x = -6x + 0 -8 + 2x = -6x Solving -8 + 2x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -8 + 2x + 6x = -6x + 6x Combine like terms: 2x + 6x = 8x -8 + 8x = -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 8x = 0 Add '8' to each side of the equation. -8 + 8 + 8x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 0 + 8 8x = 0 + 8 Combine like terms: 0 + 8 = 8 8x = 8 Divide each side by '8'. x = 1 Simplifying x = 1
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