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Simplifying x(2x + -8) = (2x + 6)(x + -8) Reorder the terms: x(-8 + 2x) = (2x + 6)(x + -8) (-8 * x + 2x * x) = (2x + 6)(x + -8) (-8x + 2x2) = (2x + 6)(x + -8) Reorder the terms: -8x + 2x2 = (6 + 2x)(x + -8) Reorder the terms: -8x + 2x2 = (6 + 2x)(-8 + x) Multiply (6 + 2x) * (-8 + x) -8x + 2x2 = (6(-8 + x) + 2x * (-8 + x)) -8x + 2x2 = ((-8 * 6 + x * 6) + 2x * (-8 + x)) -8x + 2x2 = ((-48 + 6x) + 2x * (-8 + x)) -8x + 2x2 = (-48 + 6x + (-8 * 2x + x * 2x)) -8x + 2x2 = (-48 + 6x + (-16x + 2x2)) Combine like terms: 6x + -16x = -10x -8x + 2x2 = (-48 + -10x + 2x2) Add '-2x2' to each side of the equation. -8x + 2x2 + -2x2 = -48 + -10x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x + 0 = -48 + -10x + 2x2 + -2x2 -8x = -48 + -10x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -8x = -48 + -10x + 0 -8x = -48 + -10x Solving -8x = -48 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -8x + 10x = -48 + -10x + 10x Combine like terms: -8x + 10x = 2x 2x = -48 + -10x + 10x Combine like terms: -10x + 10x = 0 2x = -48 + 0 2x = -48 Divide each side by '2'. x = -24 Simplifying x = -24
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