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Simplifying (3 + -1x)(x + 4) + 16 = 12x + -1(x + 3)(x + 3) Reorder the terms: (3 + -1x)(4 + x) + 16 = 12x + -1(x + 3)(x + 3) Multiply (3 + -1x) * (4 + x) (3(4 + x) + -1x * (4 + x)) + 16 = 12x + -1(x + 3)(x + 3) ((4 * 3 + x * 3) + -1x * (4 + x)) + 16 = 12x + -1(x + 3)(x + 3) ((12 + 3x) + -1x * (4 + x)) + 16 = 12x + -1(x + 3)(x + 3) (12 + 3x + (4 * -1x + x * -1x)) + 16 = 12x + -1(x + 3)(x + 3) (12 + 3x + (-4x + -1x2)) + 16 = 12x + -1(x + 3)(x + 3) Combine like terms: 3x + -4x = -1x (12 + -1x + -1x2) + 16 = 12x + -1(x + 3)(x + 3) Reorder the terms: 12 + 16 + -1x + -1x2 = 12x + -1(x + 3)(x + 3) Combine like terms: 12 + 16 = 28 28 + -1x + -1x2 = 12x + -1(x + 3)(x + 3) Reorder the terms: 28 + -1x + -1x2 = 12x + -1(3 + x)(x + 3) Reorder the terms: 28 + -1x + -1x2 = 12x + -1(3 + x)(3 + x) Multiply (3 + x) * (3 + x) 28 + -1x + -1x2 = 12x + -1(3(3 + x) + x(3 + x)) 28 + -1x + -1x2 = 12x + -1((3 * 3 + x * 3) + x(3 + x)) 28 + -1x + -1x2 = 12x + -1((9 + 3x) + x(3 + x)) 28 + -1x + -1x2 = 12x + -1(9 + 3x + (3 * x + x * x)) 28 + -1x + -1x2 = 12x + -1(9 + 3x + (3x + x2)) Combine like terms: 3x + 3x = 6x 28 + -1x + -1x2 = 12x + -1(9 + 6x + x2) 28 + -1x + -1x2 = 12x + (9 * -1 + 6x * -1 + x2 * -1) 28 + -1x + -1x2 = 12x + (-9 + -6x + -1x2) Reorder the terms: 28 + -1x + -1x2 = -9 + 12x + -6x + -1x2 Combine like terms: 12x + -6x = 6x 28 + -1x + -1x2 = -9 + 6x + -1x2 Add 'x2' to each side of the equation. 28 + -1x + -1x2 + x2 = -9 + 6x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 28 + -1x + 0 = -9 + 6x + -1x2 + x2 28 + -1x = -9 + 6x + -1x2 + x2 Combine like terms: -1x2 + x2 = 0 28 + -1x = -9 + 6x + 0 28 + -1x = -9 + 6x Solving 28 + -1x = -9 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 28 + -1x + -6x = -9 + 6x + -6x Combine like terms: -1x + -6x = -7x 28 + -7x = -9 + 6x + -6x Combine like terms: 6x + -6x = 0 28 + -7x = -9 + 0 28 + -7x = -9 Add '-28' to each side of the equation. 28 + -28 + -7x = -9 + -28 Combine like terms: 28 + -28 = 0 0 + -7x = -9 + -28 -7x = -9 + -28 Combine like terms: -9 + -28 = -37 -7x = -37 Divide each side by '-7'. x = 5.285714286 Simplifying x = 5.285714286
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