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Simplifying (x + 8)(x + -2) + -1x(x + 10) = 48 Reorder the terms: (8 + x)(x + -2) + -1x(x + 10) = 48 Reorder the terms: (8 + x)(-2 + x) + -1x(x + 10) = 48 Multiply (8 + x) * (-2 + x) (8(-2 + x) + x(-2 + x)) + -1x(x + 10) = 48 ((-2 * 8 + x * 8) + x(-2 + x)) + -1x(x + 10) = 48 ((-16 + 8x) + x(-2 + x)) + -1x(x + 10) = 48 (-16 + 8x + (-2 * x + x * x)) + -1x(x + 10) = 48 (-16 + 8x + (-2x + x2)) + -1x(x + 10) = 48 Combine like terms: 8x + -2x = 6x (-16 + 6x + x2) + -1x(x + 10) = 48 Reorder the terms: -16 + 6x + x2 + -1x(10 + x) = 48 -16 + 6x + x2 + (10 * -1x + x * -1x) = 48 -16 + 6x + x2 + (-10x + -1x2) = 48 Reorder the terms: -16 + 6x + -10x + x2 + -1x2 = 48 Combine like terms: 6x + -10x = -4x -16 + -4x + x2 + -1x2 = 48 Combine like terms: x2 + -1x2 = 0 -16 + -4x + 0 = 48 -16 + -4x = 48 Solving -16 + -4x = 48 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 + -4x = 48 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 48 + 16 -4x = 48 + 16 Combine like terms: 48 + 16 = 64 -4x = 64 Divide each side by '-4'. x = -16 Simplifying x = -16
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