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Simplifying x(4x + -7) = (4x + 5)(x + -4) Reorder the terms: x(-7 + 4x) = (4x + 5)(x + -4) (-7 * x + 4x * x) = (4x + 5)(x + -4) (-7x + 4x2) = (4x + 5)(x + -4) Reorder the terms: -7x + 4x2 = (5 + 4x)(x + -4) Reorder the terms: -7x + 4x2 = (5 + 4x)(-4 + x) Multiply (5 + 4x) * (-4 + x) -7x + 4x2 = (5(-4 + x) + 4x * (-4 + x)) -7x + 4x2 = ((-4 * 5 + x * 5) + 4x * (-4 + x)) -7x + 4x2 = ((-20 + 5x) + 4x * (-4 + x)) -7x + 4x2 = (-20 + 5x + (-4 * 4x + x * 4x)) -7x + 4x2 = (-20 + 5x + (-16x + 4x2)) Combine like terms: 5x + -16x = -11x -7x + 4x2 = (-20 + -11x + 4x2) Add '-4x2' to each side of the equation. -7x + 4x2 + -4x2 = -20 + -11x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7x + 0 = -20 + -11x + 4x2 + -4x2 -7x = -20 + -11x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7x = -20 + -11x + 0 -7x = -20 + -11x Solving -7x = -20 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -7x + 11x = -20 + -11x + 11x Combine like terms: -7x + 11x = 4x 4x = -20 + -11x + 11x Combine like terms: -11x + 11x = 0 4x = -20 + 0 4x = -20 Divide each side by '4'. x = -5 Simplifying x = -5
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