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Simplifying 9 + 6x + x2 = 36 + -12x + x2 + 9 Reorder the terms: 9 + 6x + x2 = 36 + 9 + -12x + x2 Combine like terms: 36 + 9 = 45 9 + 6x + x2 = 45 + -12x + x2 Add '-1x2' to each side of the equation. 9 + 6x + x2 + -1x2 = 45 + -12x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x + 0 = 45 + -12x + x2 + -1x2 9 + 6x = 45 + -12x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x = 45 + -12x + 0 9 + 6x = 45 + -12x Solving 9 + 6x = 45 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 9 + 6x + 12x = 45 + -12x + 12x Combine like terms: 6x + 12x = 18x 9 + 18x = 45 + -12x + 12x Combine like terms: -12x + 12x = 0 9 + 18x = 45 + 0 9 + 18x = 45 Add '-9' to each side of the equation. 9 + -9 + 18x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 18x = 45 + -9 18x = 45 + -9 Combine like terms: 45 + -9 = 36 18x = 36 Divide each side by '18'. x = 2 Simplifying x = 2
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