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Simplifying x(x + -9) = (x + -12)(x + 4) Reorder the terms: x(-9 + x) = (x + -12)(x + 4) (-9 * x + x * x) = (x + -12)(x + 4) (-9x + x2) = (x + -12)(x + 4) Reorder the terms: -9x + x2 = (-12 + x)(x + 4) Reorder the terms: -9x + x2 = (-12 + x)(4 + x) Multiply (-12 + x) * (4 + x) -9x + x2 = (-12(4 + x) + x(4 + x)) -9x + x2 = ((4 * -12 + x * -12) + x(4 + x)) -9x + x2 = ((-48 + -12x) + x(4 + x)) -9x + x2 = (-48 + -12x + (4 * x + x * x)) -9x + x2 = (-48 + -12x + (4x + x2)) Combine like terms: -12x + 4x = -8x -9x + x2 = (-48 + -8x + x2) Add '-1x2' to each side of the equation. -9x + x2 + -1x2 = -48 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9x + 0 = -48 + -8x + x2 + -1x2 -9x = -48 + -8x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9x = -48 + -8x + 0 -9x = -48 + -8x Solving -9x = -48 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9x + 8x = -48 + -8x + 8x Combine like terms: -9x + 8x = -1x -1x = -48 + -8x + 8x Combine like terms: -8x + 8x = 0 -1x = -48 + 0 -1x = -48 Divide each side by '-1'. x = 48 Simplifying x = 48
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