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Simplifying x(x + -11) = (x + -8)(x + -6) Reorder the terms: x(-11 + x) = (x + -8)(x + -6) (-11 * x + x * x) = (x + -8)(x + -6) (-11x + x2) = (x + -8)(x + -6) Reorder the terms: -11x + x2 = (-8 + x)(x + -6) Reorder the terms: -11x + x2 = (-8 + x)(-6 + x) Multiply (-8 + x) * (-6 + x) -11x + x2 = (-8(-6 + x) + x(-6 + x)) -11x + x2 = ((-6 * -8 + x * -8) + x(-6 + x)) -11x + x2 = ((48 + -8x) + x(-6 + x)) -11x + x2 = (48 + -8x + (-6 * x + x * x)) -11x + x2 = (48 + -8x + (-6x + x2)) Combine like terms: -8x + -6x = -14x -11x + x2 = (48 + -14x + x2) Add '-1x2' to each side of the equation. -11x + x2 + -1x2 = 48 + -14x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11x + 0 = 48 + -14x + x2 + -1x2 -11x = 48 + -14x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -11x = 48 + -14x + 0 -11x = 48 + -14x Solving -11x = 48 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -11x + 14x = 48 + -14x + 14x Combine like terms: -11x + 14x = 3x 3x = 48 + -14x + 14x Combine like terms: -14x + 14x = 0 3x = 48 + 0 3x = 48 Divide each side by '3'. x = 16 Simplifying x = 16
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