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Simplifying x2 + -1(x + -4)(x + 3) = 17 Reorder the terms: x2 + -1(-4 + x)(x + 3) = 17 Reorder the terms: x2 + -1(-4 + x)(3 + x) = 17 Multiply (-4 + x) * (3 + x) x2 + -1(-4(3 + x) + x(3 + x)) = 17 x2 + -1((3 * -4 + x * -4) + x(3 + x)) = 17 x2 + -1((-12 + -4x) + x(3 + x)) = 17 x2 + -1(-12 + -4x + (3 * x + x * x)) = 17 x2 + -1(-12 + -4x + (3x + x2)) = 17 Combine like terms: -4x + 3x = -1x x2 + -1(-12 + -1x + x2) = 17 x2 + (-12 * -1 + -1x * -1 + x2 * -1) = 17 x2 + (12 + 1x + -1x2) = 17 Reorder the terms: 12 + 1x + x2 + -1x2 = 17 Combine like terms: x2 + -1x2 = 0 12 + 1x + 0 = 17 12 + 1x = 17 Solving 12 + 1x = 17 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 = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 17 + -12 1x = 17 + -12 Combine like terms: 17 + -12 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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