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Simplifying (9x + 3)(x + -4) = 9x2 + x + 5 Reorder the terms: (3 + 9x)(x + -4) = 9x2 + x + 5 Reorder the terms: (3 + 9x)(-4 + x) = 9x2 + x + 5 Multiply (3 + 9x) * (-4 + x) (3(-4 + x) + 9x * (-4 + x)) = 9x2 + x + 5 ((-4 * 3 + x * 3) + 9x * (-4 + x)) = 9x2 + x + 5 ((-12 + 3x) + 9x * (-4 + x)) = 9x2 + x + 5 (-12 + 3x + (-4 * 9x + x * 9x)) = 9x2 + x + 5 (-12 + 3x + (-36x + 9x2)) = 9x2 + x + 5 Combine like terms: 3x + -36x = -33x (-12 + -33x + 9x2) = 9x2 + x + 5 Reorder the terms: -12 + -33x + 9x2 = 5 + x + 9x2 Add '-9x2' to each side of the equation. -12 + -33x + 9x2 + -9x2 = 5 + x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -12 + -33x + 0 = 5 + x + 9x2 + -9x2 -12 + -33x = 5 + x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -12 + -33x = 5 + x + 0 -12 + -33x = 5 + x Solving -12 + -33x = 5 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + -33x + -1x = 5 + x + -1x Combine like terms: -33x + -1x = -34x -12 + -34x = 5 + x + -1x Combine like terms: x + -1x = 0 -12 + -34x = 5 + 0 -12 + -34x = 5 Add '12' to each side of the equation. -12 + 12 + -34x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + -34x = 5 + 12 -34x = 5 + 12 Combine like terms: 5 + 12 = 17 -34x = 17 Divide each side by '-34'. x = -0.5 Simplifying x = -0.5
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