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Simplifying 3(x + 1) + x2 = x2 + 18 Reorder the terms: 3(1 + x) + x2 = x2 + 18 (1 * 3 + x * 3) + x2 = x2 + 18 (3 + 3x) + x2 = x2 + 18 Reorder the terms: 3 + 3x + x2 = 18 + x2 Add '-1x2' to each side of the equation. 3 + 3x + x2 + -1x2 = 18 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + 3x + 0 = 18 + x2 + -1x2 3 + 3x = 18 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 3 + 3x = 18 + 0 3 + 3x = 18 Solving 3 + 3x = 18 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 + -3 + 3x = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 18 + -3 3x = 18 + -3 Combine like terms: 18 + -3 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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