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Simplifying X + 3 + x + 4 = x2 + 7x + 12 Reorder the terms: 3 + 4 + X + x = x2 + 7x + 12 Combine like terms: 3 + 4 = 7 7 + X + x = x2 + 7x + 12 Reorder the terms: 7 + X + x = 12 + 7x + x2 Solving 7 + X + x = 12 + 7x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + X + -7 + x = 12 + 7x + -7 + x2 Reorder the terms: 7 + -7 + X + x = 12 + 7x + -7 + x2 Combine like terms: 7 + -7 = 0 0 + X + x = 12 + 7x + -7 + x2 X + x = 12 + 7x + -7 + x2 Reorder the terms: X + x = 12 + -7 + 7x + x2 Combine like terms: 12 + -7 = 5 X + x = 5 + 7x + x2 Add '-1x' to each side of the equation. X + x + -1x = 5 + 7x + -1x + x2 Combine like terms: x + -1x = 0 X + 0 = 5 + 7x + -1x + x2 X = 5 + 7x + -1x + x2 Combine like terms: 7x + -1x = 6x X = 5 + 6x + x2 Simplifying X = 5 + 6x + x2
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