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Simplifying 0 = x(-1x + -5) + (x + 3)(x + -7) + 12 Reorder the terms: 0 = x(-5 + -1x) + (x + 3)(x + -7) + 12 0 = (-5 * x + -1x * x) + (x + 3)(x + -7) + 12 0 = (-5x + -1x2) + (x + 3)(x + -7) + 12 Reorder the terms: 0 = -5x + -1x2 + (3 + x)(x + -7) + 12 Reorder the terms: 0 = -5x + -1x2 + (3 + x)(-7 + x) + 12 Multiply (3 + x) * (-7 + x) 0 = -5x + -1x2 + (3(-7 + x) + x(-7 + x)) + 12 0 = -5x + -1x2 + ((-7 * 3 + x * 3) + x(-7 + x)) + 12 0 = -5x + -1x2 + ((-21 + 3x) + x(-7 + x)) + 12 0 = -5x + -1x2 + (-21 + 3x + (-7 * x + x * x)) + 12 0 = -5x + -1x2 + (-21 + 3x + (-7x + x2)) + 12 Combine like terms: 3x + -7x = -4x 0 = -5x + -1x2 + (-21 + -4x + x2) + 12 Reorder the terms: 0 = -21 + 12 + -5x + -4x + -1x2 + x2 Combine like terms: -21 + 12 = -9 0 = -9 + -5x + -4x + -1x2 + x2 Combine like terms: -5x + -4x = -9x 0 = -9 + -9x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 0 = -9 + -9x + 0 0 = -9 + -9x Solving 0 = -9 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 0 + 9x = -9 + -9x + 9x Remove the zero: 9x = -9 + -9x + 9x Combine like terms: -9x + 9x = 0 9x = -9 + 0 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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