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Simplifying (x + -3)(x + 4) = x2 + 4 Reorder the terms: (-3 + x)(x + 4) = x2 + 4 Reorder the terms: (-3 + x)(4 + x) = x2 + 4 Multiply (-3 + x) * (4 + x) (-3(4 + x) + x(4 + x)) = x2 + 4 ((4 * -3 + x * -3) + x(4 + x)) = x2 + 4 ((-12 + -3x) + x(4 + x)) = x2 + 4 (-12 + -3x + (4 * x + x * x)) = x2 + 4 (-12 + -3x + (4x + x2)) = x2 + 4 Combine like terms: -3x + 4x = 1x (-12 + 1x + x2) = x2 + 4 Reorder the terms: -12 + 1x + x2 = 4 + x2 Add '-1x2' to each side of the equation. -12 + 1x + x2 + -1x2 = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 1x + 0 = 4 + x2 + -1x2 -12 + 1x = 4 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -12 + 1x = 4 + 0 -12 + 1x = 4 Solving -12 + 1x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 1x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 4 + 12 1x = 4 + 12 Combine like terms: 4 + 12 = 16 1x = 16 Divide each side by '1'. x = 16 Simplifying x = 16
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