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Simplifying X + (x + 1)(x + 3) = 117 Reorder the terms: X + (1 + x)(x + 3) = 117 Reorder the terms: X + (1 + x)(3 + x) = 117 Multiply (1 + x) * (3 + x) X + (1(3 + x) + x(3 + x)) = 117 X + ((3 * 1 + x * 1) + x(3 + x)) = 117 X + ((3 + 1x) + x(3 + x)) = 117 X + (3 + 1x + (3 * x + x * x)) = 117 X + (3 + 1x + (3x + x2)) = 117 Combine like terms: 1x + 3x = 4x X + (3 + 4x + x2) = 117 Reorder the terms: 3 + X + 4x + x2 = 117 Solving 3 + X + 4x + x2 = 117 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + X + 4x + -3 + x2 = 117 + -3 Reorder the terms: 3 + -3 + X + 4x + x2 = 117 + -3 Combine like terms: 3 + -3 = 0 0 + X + 4x + x2 = 117 + -3 X + 4x + x2 = 117 + -3 Combine like terms: 117 + -3 = 114 X + 4x + x2 = 114 Add '-4x' to each side of the equation. X + 4x + -4x + x2 = 114 + -4x Combine like terms: 4x + -4x = 0 X + 0 + x2 = 114 + -4x X + x2 = 114 + -4x Add '-1x2' to each side of the equation. X + x2 + -1x2 = 114 + -4x + -1x2 Combine like terms: x2 + -1x2 = 0 X + 0 = 114 + -4x + -1x2 X = 114 + -4x + -1x2 Simplifying X = 114 + -4x + -1x2
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