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Simplifying 4x(x + -2) = (2x + 1)(2x + -3) Reorder the terms: 4x(-2 + x) = (2x + 1)(2x + -3) (-2 * 4x + x * 4x) = (2x + 1)(2x + -3) (-8x + 4x2) = (2x + 1)(2x + -3) Reorder the terms: -8x + 4x2 = (1 + 2x)(2x + -3) Reorder the terms: -8x + 4x2 = (1 + 2x)(-3 + 2x) Multiply (1 + 2x) * (-3 + 2x) -8x + 4x2 = (1(-3 + 2x) + 2x * (-3 + 2x)) -8x + 4x2 = ((-3 * 1 + 2x * 1) + 2x * (-3 + 2x)) -8x + 4x2 = ((-3 + 2x) + 2x * (-3 + 2x)) -8x + 4x2 = (-3 + 2x + (-3 * 2x + 2x * 2x)) -8x + 4x2 = (-3 + 2x + (-6x + 4x2)) Combine like terms: 2x + -6x = -4x -8x + 4x2 = (-3 + -4x + 4x2) Add '-4x2' to each side of the equation. -8x + 4x2 + -4x2 = -3 + -4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x + 0 = -3 + -4x + 4x2 + -4x2 -8x = -3 + -4x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -8x = -3 + -4x + 0 -8x = -3 + -4x Solving -8x = -3 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -8x + 4x = -3 + -4x + 4x Combine like terms: -8x + 4x = -4x -4x = -3 + -4x + 4x Combine like terms: -4x + 4x = 0 -4x = -3 + 0 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75
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