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Simplifying (3x + 3)(7x + -4) = 21x2 + 10 Reorder the terms: (3 + 3x)(7x + -4) = 21x2 + 10 Reorder the terms: (3 + 3x)(-4 + 7x) = 21x2 + 10 Multiply (3 + 3x) * (-4 + 7x) (3(-4 + 7x) + 3x * (-4 + 7x)) = 21x2 + 10 ((-4 * 3 + 7x * 3) + 3x * (-4 + 7x)) = 21x2 + 10 ((-12 + 21x) + 3x * (-4 + 7x)) = 21x2 + 10 (-12 + 21x + (-4 * 3x + 7x * 3x)) = 21x2 + 10 (-12 + 21x + (-12x + 21x2)) = 21x2 + 10 Combine like terms: 21x + -12x = 9x (-12 + 9x + 21x2) = 21x2 + 10 Reorder the terms: -12 + 9x + 21x2 = 10 + 21x2 Add '-21x2' to each side of the equation. -12 + 9x + 21x2 + -21x2 = 10 + 21x2 + -21x2 Combine like terms: 21x2 + -21x2 = 0 -12 + 9x + 0 = 10 + 21x2 + -21x2 -12 + 9x = 10 + 21x2 + -21x2 Combine like terms: 21x2 + -21x2 = 0 -12 + 9x = 10 + 0 -12 + 9x = 10 Solving -12 + 9x = 10 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 + 9x = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 10 + 12 9x = 10 + 12 Combine like terms: 10 + 12 = 22 9x = 22 Divide each side by '9'. x = 2.444444444 Simplifying x = 2.444444444
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