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Simplifying (x + 4)(x + 3) + -1x(x + -2) = 48 Reorder the terms: (4 + x)(x + 3) + -1x(x + -2) = 48 Reorder the terms: (4 + x)(3 + x) + -1x(x + -2) = 48 Multiply (4 + x) * (3 + x) (4(3 + x) + x(3 + x)) + -1x(x + -2) = 48 ((3 * 4 + x * 4) + x(3 + x)) + -1x(x + -2) = 48 ((12 + 4x) + x(3 + x)) + -1x(x + -2) = 48 (12 + 4x + (3 * x + x * x)) + -1x(x + -2) = 48 (12 + 4x + (3x + x2)) + -1x(x + -2) = 48 Combine like terms: 4x + 3x = 7x (12 + 7x + x2) + -1x(x + -2) = 48 Reorder the terms: 12 + 7x + x2 + -1x(-2 + x) = 48 12 + 7x + x2 + (-2 * -1x + x * -1x) = 48 12 + 7x + x2 + (2x + -1x2) = 48 Reorder the terms: 12 + 7x + 2x + x2 + -1x2 = 48 Combine like terms: 7x + 2x = 9x 12 + 9x + x2 + -1x2 = 48 Combine like terms: x2 + -1x2 = 0 12 + 9x + 0 = 48 12 + 9x = 48 Solving 12 + 9x = 48 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 = 48 + -12 Combine like terms: 12 + -12 = 0 0 + 9x = 48 + -12 9x = 48 + -12 Combine like terms: 48 + -12 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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