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Simplifying (x + 3)(x + -2) = (x + -6)(x + -10) Reorder the terms: (3 + x)(x + -2) = (x + -6)(x + -10) Reorder the terms: (3 + x)(-2 + x) = (x + -6)(x + -10) Multiply (3 + x) * (-2 + x) (3(-2 + x) + x(-2 + x)) = (x + -6)(x + -10) ((-2 * 3 + x * 3) + x(-2 + x)) = (x + -6)(x + -10) ((-6 + 3x) + x(-2 + x)) = (x + -6)(x + -10) (-6 + 3x + (-2 * x + x * x)) = (x + -6)(x + -10) (-6 + 3x + (-2x + x2)) = (x + -6)(x + -10) Combine like terms: 3x + -2x = 1x (-6 + 1x + x2) = (x + -6)(x + -10) Reorder the terms: -6 + 1x + x2 = (-6 + x)(x + -10) Reorder the terms: -6 + 1x + x2 = (-6 + x)(-10 + x) Multiply (-6 + x) * (-10 + x) -6 + 1x + x2 = (-6(-10 + x) + x(-10 + x)) -6 + 1x + x2 = ((-10 * -6 + x * -6) + x(-10 + x)) -6 + 1x + x2 = ((60 + -6x) + x(-10 + x)) -6 + 1x + x2 = (60 + -6x + (-10 * x + x * x)) -6 + 1x + x2 = (60 + -6x + (-10x + x2)) Combine like terms: -6x + -10x = -16x -6 + 1x + x2 = (60 + -16x + x2) Add '-1x2' to each side of the equation. -6 + 1x + x2 + -1x2 = 60 + -16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 1x + 0 = 60 + -16x + x2 + -1x2 -6 + 1x = 60 + -16x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 1x = 60 + -16x + 0 -6 + 1x = 60 + -16x Solving -6 + 1x = 60 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -6 + 1x + 16x = 60 + -16x + 16x Combine like terms: 1x + 16x = 17x -6 + 17x = 60 + -16x + 16x Combine like terms: -16x + 16x = 0 -6 + 17x = 60 + 0 -6 + 17x = 60 Add '6' to each side of the equation. -6 + 6 + 17x = 60 + 6 Combine like terms: -6 + 6 = 0 0 + 17x = 60 + 6 17x = 60 + 6 Combine like terms: 60 + 6 = 66 17x = 66 Divide each side by '17'. x = 3.882352941 Simplifying x = 3.882352941
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