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Simplifying (x + 7)(x + -3) = x2 + 3x + -16 Reorder the terms: (7 + x)(x + -3) = x2 + 3x + -16 Reorder the terms: (7 + x)(-3 + x) = x2 + 3x + -16 Multiply (7 + x) * (-3 + x) (7(-3 + x) + x(-3 + x)) = x2 + 3x + -16 ((-3 * 7 + x * 7) + x(-3 + x)) = x2 + 3x + -16 ((-21 + 7x) + x(-3 + x)) = x2 + 3x + -16 (-21 + 7x + (-3 * x + x * x)) = x2 + 3x + -16 (-21 + 7x + (-3x + x2)) = x2 + 3x + -16 Combine like terms: 7x + -3x = 4x (-21 + 4x + x2) = x2 + 3x + -16 Reorder the terms: -21 + 4x + x2 = -16 + 3x + x2 Add '-1x2' to each side of the equation. -21 + 4x + x2 + -1x2 = -16 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -21 + 4x + 0 = -16 + 3x + x2 + -1x2 -21 + 4x = -16 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -21 + 4x = -16 + 3x + 0 -21 + 4x = -16 + 3x Solving -21 + 4x = -16 + 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. -21 + 4x + -3x = -16 + 3x + -3x Combine like terms: 4x + -3x = 1x -21 + 1x = -16 + 3x + -3x Combine like terms: 3x + -3x = 0 -21 + 1x = -16 + 0 -21 + 1x = -16 Add '21' to each side of the equation. -21 + 21 + 1x = -16 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -16 + 21 1x = -16 + 21 Combine like terms: -16 + 21 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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