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Simplifying (x + 4)(x + 3) = x2 + 222 Reorder the terms: (4 + x)(x + 3) = x2 + 222 Reorder the terms: (4 + x)(3 + x) = x2 + 222 Multiply (4 + x) * (3 + x) (4(3 + x) + x(3 + x)) = x2 + 222 ((3 * 4 + x * 4) + x(3 + x)) = x2 + 222 ((12 + 4x) + x(3 + x)) = x2 + 222 (12 + 4x + (3 * x + x * x)) = x2 + 222 (12 + 4x + (3x + x2)) = x2 + 222 Combine like terms: 4x + 3x = 7x (12 + 7x + x2) = x2 + 222 Reorder the terms: 12 + 7x + x2 = 222 + x2 Add '-1x2' to each side of the equation. 12 + 7x + x2 + -1x2 = 222 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12 + 7x + 0 = 222 + x2 + -1x2 12 + 7x = 222 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12 + 7x = 222 + 0 12 + 7x = 222 Solving 12 + 7x = 222 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 + 7x = 222 + -12 Combine like terms: 12 + -12 = 0 0 + 7x = 222 + -12 7x = 222 + -12 Combine like terms: 222 + -12 = 210 7x = 210 Divide each side by '7'. x = 30 Simplifying x = 30
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