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Simplifying x(x + 6) + -6 = x2 + 3x + 1 Reorder the terms: x(6 + x) + -6 = x2 + 3x + 1 (6 * x + x * x) + -6 = x2 + 3x + 1 (6x + x2) + -6 = x2 + 3x + 1 Reorder the terms: -6 + 6x + x2 = x2 + 3x + 1 Reorder the terms: -6 + 6x + x2 = 1 + 3x + x2 Add '-1x2' to each side of the equation. -6 + 6x + x2 + -1x2 = 1 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 6x + 0 = 1 + 3x + x2 + -1x2 -6 + 6x = 1 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 6x = 1 + 3x + 0 -6 + 6x = 1 + 3x Solving -6 + 6x = 1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 6x + -3x = 1 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = 1 + 0 -6 + 3x = 1 Add '6' to each side of the equation. -6 + 6 + 3x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 1 + 6 3x = 1 + 6 Combine like terms: 1 + 6 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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