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Simplifying (x + 8)(x + -2) + -1x(x + -4) = 24 Reorder the terms: (8 + x)(x + -2) + -1x(x + -4) = 24 Reorder the terms: (8 + x)(-2 + x) + -1x(x + -4) = 24 Multiply (8 + x) * (-2 + x) (8(-2 + x) + x(-2 + x)) + -1x(x + -4) = 24 ((-2 * 8 + x * 8) + x(-2 + x)) + -1x(x + -4) = 24 ((-16 + 8x) + x(-2 + x)) + -1x(x + -4) = 24 (-16 + 8x + (-2 * x + x * x)) + -1x(x + -4) = 24 (-16 + 8x + (-2x + x2)) + -1x(x + -4) = 24 Combine like terms: 8x + -2x = 6x (-16 + 6x + x2) + -1x(x + -4) = 24 Reorder the terms: -16 + 6x + x2 + -1x(-4 + x) = 24 -16 + 6x + x2 + (-4 * -1x + x * -1x) = 24 -16 + 6x + x2 + (4x + -1x2) = 24 Reorder the terms: -16 + 6x + 4x + x2 + -1x2 = 24 Combine like terms: 6x + 4x = 10x -16 + 10x + x2 + -1x2 = 24 Combine like terms: x2 + -1x2 = 0 -16 + 10x + 0 = 24 -16 + 10x = 24 Solving -16 + 10x = 24 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 10x = 24 + 16 Combine like terms: -16 + 16 = 0 0 + 10x = 24 + 16 10x = 24 + 16 Combine like terms: 24 + 16 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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