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Simplifying (x + 8)(x + -2) = x(x + 3) + 14 Reorder the terms: (8 + x)(x + -2) = x(x + 3) + 14 Reorder the terms: (8 + x)(-2 + x) = x(x + 3) + 14 Multiply (8 + x) * (-2 + x) (8(-2 + x) + x(-2 + x)) = x(x + 3) + 14 ((-2 * 8 + x * 8) + x(-2 + x)) = x(x + 3) + 14 ((-16 + 8x) + x(-2 + x)) = x(x + 3) + 14 (-16 + 8x + (-2 * x + x * x)) = x(x + 3) + 14 (-16 + 8x + (-2x + x2)) = x(x + 3) + 14 Combine like terms: 8x + -2x = 6x (-16 + 6x + x2) = x(x + 3) + 14 Reorder the terms: -16 + 6x + x2 = x(3 + x) + 14 -16 + 6x + x2 = (3 * x + x * x) + 14 -16 + 6x + x2 = (3x + x2) + 14 Reorder the terms: -16 + 6x + x2 = 14 + 3x + x2 Add '-1x2' to each side of the equation. -16 + 6x + x2 + -1x2 = 14 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + 6x + 0 = 14 + 3x + x2 + -1x2 -16 + 6x = 14 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + 6x = 14 + 3x + 0 -16 + 6x = 14 + 3x Solving -16 + 6x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -16 + 6x + -3x = 14 + 3x + -3x Combine like terms: 6x + -3x = 3x -16 + 3x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 -16 + 3x = 14 + 0 -16 + 3x = 14 Add '16' to each side of the equation. -16 + 16 + 3x = 14 + 16 Combine like terms: -16 + 16 = 0 0 + 3x = 14 + 16 3x = 14 + 16 Combine like terms: 14 + 16 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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