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Simplifying x(x + -9) = (x + 4)(x + -12) Reorder the terms: x(-9 + x) = (x + 4)(x + -12) (-9 * x + x * x) = (x + 4)(x + -12) (-9x + x2) = (x + 4)(x + -12) Reorder the terms: -9x + x2 = (4 + x)(x + -12) Reorder the terms: -9x + x2 = (4 + x)(-12 + x) Multiply (4 + x) * (-12 + x) -9x + x2 = (4(-12 + x) + x(-12 + x)) -9x + x2 = ((-12 * 4 + x * 4) + x(-12 + x)) -9x + x2 = ((-48 + 4x) + x(-12 + x)) -9x + x2 = (-48 + 4x + (-12 * x + x * x)) -9x + x2 = (-48 + 4x + (-12x + x2)) Combine like terms: 4x + -12x = -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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