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