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Simplifying 5(x + 4)(x + -5) = (x + -3)(5x + 4) Reorder the terms: 5(4 + x)(x + -5) = (x + -3)(5x + 4) Reorder the terms: 5(4 + x)(-5 + x) = (x + -3)(5x + 4) Multiply (4 + x) * (-5 + x) 5(4(-5 + x) + x(-5 + x)) = (x + -3)(5x + 4) 5((-5 * 4 + x * 4) + x(-5 + x)) = (x + -3)(5x + 4) 5((-20 + 4x) + x(-5 + x)) = (x + -3)(5x + 4) 5(-20 + 4x + (-5 * x + x * x)) = (x + -3)(5x + 4) 5(-20 + 4x + (-5x + x2)) = (x + -3)(5x + 4) Combine like terms: 4x + -5x = -1x 5(-20 + -1x + x2) = (x + -3)(5x + 4) (-20 * 5 + -1x * 5 + x2 * 5) = (x + -3)(5x + 4) (-100 + -5x + 5x2) = (x + -3)(5x + 4) Reorder the terms: -100 + -5x + 5x2 = (-3 + x)(5x + 4) Reorder the terms: -100 + -5x + 5x2 = (-3 + x)(4 + 5x) Multiply (-3 + x) * (4 + 5x) -100 + -5x + 5x2 = (-3(4 + 5x) + x(4 + 5x)) -100 + -5x + 5x2 = ((4 * -3 + 5x * -3) + x(4 + 5x)) -100 + -5x + 5x2 = ((-12 + -15x) + x(4 + 5x)) -100 + -5x + 5x2 = (-12 + -15x + (4 * x + 5x * x)) -100 + -5x + 5x2 = (-12 + -15x + (4x + 5x2)) Combine like terms: -15x + 4x = -11x -100 + -5x + 5x2 = (-12 + -11x + 5x2) Add '-5x2' to each side of the equation. -100 + -5x + 5x2 + -5x2 = -12 + -11x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -100 + -5x + 0 = -12 + -11x + 5x2 + -5x2 -100 + -5x = -12 + -11x + 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -100 + -5x = -12 + -11x + 0 -100 + -5x = -12 + -11x Solving -100 + -5x = -12 + -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. -100 + -5x + 11x = -12 + -11x + 11x Combine like terms: -5x + 11x = 6x -100 + 6x = -12 + -11x + 11x Combine like terms: -11x + 11x = 0 -100 + 6x = -12 + 0 -100 + 6x = -12 Add '100' to each side of the equation. -100 + 100 + 6x = -12 + 100 Combine like terms: -100 + 100 = 0 0 + 6x = -12 + 100 6x = -12 + 100 Combine like terms: -12 + 100 = 88 6x = 88 Divide each side by '6'. x = 14.66666667 Simplifying x = 14.66666667
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