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Simplifying 4(x + 6)(x + -5) = 4x2 + -11x Reorder the terms: 4(6 + x)(x + -5) = 4x2 + -11x Reorder the terms: 4(6 + x)(-5 + x) = 4x2 + -11x Multiply (6 + x) * (-5 + x) 4(6(-5 + x) + x(-5 + x)) = 4x2 + -11x 4((-5 * 6 + x * 6) + x(-5 + x)) = 4x2 + -11x 4((-30 + 6x) + x(-5 + x)) = 4x2 + -11x 4(-30 + 6x + (-5 * x + x * x)) = 4x2 + -11x 4(-30 + 6x + (-5x + x2)) = 4x2 + -11x Combine like terms: 6x + -5x = 1x 4(-30 + 1x + x2) = 4x2 + -11x (-30 * 4 + 1x * 4 + x2 * 4) = 4x2 + -11x (-120 + 4x + 4x2) = 4x2 + -11x Reorder the terms: -120 + 4x + 4x2 = -11x + 4x2 Add '-4x2' to each side of the equation. -120 + 4x + 4x2 + -4x2 = -11x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -120 + 4x + 0 = -11x + 4x2 + -4x2 -120 + 4x = -11x + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -120 + 4x = -11x + 0 -120 + 4x = -11x Solving -120 + 4x = -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. -120 + 4x + 11x = -11x + 11x Combine like terms: 4x + 11x = 15x -120 + 15x = -11x + 11x Combine like terms: -11x + 11x = 0 -120 + 15x = 0 Add '120' to each side of the equation. -120 + 120 + 15x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 15x = 0 + 120 15x = 0 + 120 Combine like terms: 0 + 120 = 120 15x = 120 Divide each side by '15'. x = 8 Simplifying x = 8
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