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Simplifying x(x + 6) + -9 = x(x + -1) + 1 Reorder the terms: x(6 + x) + -9 = x(x + -1) + 1 (6 * x + x * x) + -9 = x(x + -1) + 1 (6x + x2) + -9 = x(x + -1) + 1 Reorder the terms: -9 + 6x + x2 = x(x + -1) + 1 Reorder the terms: -9 + 6x + x2 = x(-1 + x) + 1 -9 + 6x + x2 = (-1 * x + x * x) + 1 -9 + 6x + x2 = (-1x + x2) + 1 Reorder the terms: -9 + 6x + x2 = 1 + -1x + x2 Add '-1x2' to each side of the equation. -9 + 6x + x2 + -1x2 = 1 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 6x + 0 = 1 + -1x + x2 + -1x2 -9 + 6x = 1 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -9 + 6x = 1 + -1x + 0 -9 + 6x = 1 + -1x Solving -9 + 6x = 1 + -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. -9 + 6x + x = 1 + -1x + x Combine like terms: 6x + x = 7x -9 + 7x = 1 + -1x + x Combine like terms: -1x + x = 0 -9 + 7x = 1 + 0 -9 + 7x = 1 Add '9' to each side of the equation. -9 + 9 + 7x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 7x = 1 + 9 7x = 1 + 9 Combine like terms: 1 + 9 = 10 7x = 10 Divide each side by '7'. x = 1.428571429 Simplifying x = 1.428571429
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