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Simplifying x(2x + -5) = (2x + 1)(x + -4) Reorder the terms: x(-5 + 2x) = (2x + 1)(x + -4) (-5 * x + 2x * x) = (2x + 1)(x + -4) (-5x + 2x2) = (2x + 1)(x + -4) Reorder the terms: -5x + 2x2 = (1 + 2x)(x + -4) Reorder the terms: -5x + 2x2 = (1 + 2x)(-4 + x) Multiply (1 + 2x) * (-4 + x) -5x + 2x2 = (1(-4 + x) + 2x * (-4 + x)) -5x + 2x2 = ((-4 * 1 + x * 1) + 2x * (-4 + x)) -5x + 2x2 = ((-4 + 1x) + 2x * (-4 + x)) -5x + 2x2 = (-4 + 1x + (-4 * 2x + x * 2x)) -5x + 2x2 = (-4 + 1x + (-8x + 2x2)) Combine like terms: 1x + -8x = -7x -5x + 2x2 = (-4 + -7x + 2x2) Add '-2x2' to each side of the equation. -5x + 2x2 + -2x2 = -4 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5x + 0 = -4 + -7x + 2x2 + -2x2 -5x = -4 + -7x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -5x = -4 + -7x + 0 -5x = -4 + -7x Solving -5x = -4 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5x + 7x = -4 + -7x + 7x Combine like terms: -5x + 7x = 2x 2x = -4 + -7x + 7x Combine like terms: -7x + 7x = 0 2x = -4 + 0 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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