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Simplifying X + -7(x + 2) = x2 + 4x + 13 Reorder the terms: X + -7(2 + x) = x2 + 4x + 13 X + (2 * -7 + x * -7) = x2 + 4x + 13 X + (-14 + -7x) = x2 + 4x + 13 Reorder the terms: -14 + X + -7x = x2 + 4x + 13 Reorder the terms: -14 + X + -7x = 13 + 4x + x2 Solving -14 + X + -7x = 13 + 4x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + X + 14 + -7x = 13 + 4x + 14 + x2 Reorder the terms: -14 + 14 + X + -7x = 13 + 4x + 14 + x2 Combine like terms: -14 + 14 = 0 0 + X + -7x = 13 + 4x + 14 + x2 X + -7x = 13 + 4x + 14 + x2 Reorder the terms: X + -7x = 13 + 14 + 4x + x2 Combine like terms: 13 + 14 = 27 X + -7x = 27 + 4x + x2 Add '7x' to each side of the equation. X + -7x + 7x = 27 + 4x + 7x + x2 Combine like terms: -7x + 7x = 0 X + 0 = 27 + 4x + 7x + x2 X = 27 + 4x + 7x + x2 Combine like terms: 4x + 7x = 11x X = 27 + 11x + x2 Simplifying X = 27 + 11x + x2
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