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Simplifying x(4x + -2) = (4x + 3)(x + -2) Reorder the terms: x(-2 + 4x) = (4x + 3)(x + -2) (-2 * x + 4x * x) = (4x + 3)(x + -2) (-2x + 4x2) = (4x + 3)(x + -2) Reorder the terms: -2x + 4x2 = (3 + 4x)(x + -2) Reorder the terms: -2x + 4x2 = (3 + 4x)(-2 + x) Multiply (3 + 4x) * (-2 + x) -2x + 4x2 = (3(-2 + x) + 4x * (-2 + x)) -2x + 4x2 = ((-2 * 3 + x * 3) + 4x * (-2 + x)) -2x + 4x2 = ((-6 + 3x) + 4x * (-2 + x)) -2x + 4x2 = (-6 + 3x + (-2 * 4x + x * 4x)) -2x + 4x2 = (-6 + 3x + (-8x + 4x2)) Combine like terms: 3x + -8x = -5x -2x + 4x2 = (-6 + -5x + 4x2) Add '-4x2' to each side of the equation. -2x + 4x2 + -4x2 = -6 + -5x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -2x + 0 = -6 + -5x + 4x2 + -4x2 -2x = -6 + -5x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -2x = -6 + -5x + 0 -2x = -6 + -5x Solving -2x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -2x + 5x = -6 + -5x + 5x Combine like terms: -2x + 5x = 3x 3x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 3x = -6 + 0 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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