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Simplifying x2 + 2x + 6 = x2 + -1x + 12 Reorder the terms: 6 + 2x + x2 = x2 + -1x + 12 Reorder the terms: 6 + 2x + x2 = 12 + -1x + x2 Add '-1x2' to each side of the equation. 6 + 2x + x2 + -1x2 = 12 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 2x + 0 = 12 + -1x + x2 + -1x2 6 + 2x = 12 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 2x = 12 + -1x + 0 6 + 2x = 12 + -1x Solving 6 + 2x = 12 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 6 + 2x + x = 12 + -1x + x Combine like terms: 2x + x = 3x 6 + 3x = 12 + -1x + x Combine like terms: -1x + x = 0 6 + 3x = 12 + 0 6 + 3x = 12 Add '-6' to each side of the equation. 6 + -6 + 3x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3x = 12 + -6 3x = 12 + -6 Combine like terms: 12 + -6 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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