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Simplifying x(x + 5) + -6 = x(x + -1) + 12 Reorder the terms: x(5 + x) + -6 = x(x + -1) + 12 (5 * x + x * x) + -6 = x(x + -1) + 12 (5x + x2) + -6 = x(x + -1) + 12 Reorder the terms: -6 + 5x + x2 = x(x + -1) + 12 Reorder the terms: -6 + 5x + x2 = x(-1 + x) + 12 -6 + 5x + x2 = (-1 * x + x * x) + 12 -6 + 5x + x2 = (-1x + x2) + 12 Reorder the terms: -6 + 5x + x2 = 12 + -1x + x2 Add '-1x2' to each side of the equation. -6 + 5x + x2 + -1x2 = 12 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 5x + 0 = 12 + -1x + x2 + -1x2 -6 + 5x = 12 + -1x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 5x = 12 + -1x + 0 -6 + 5x = 12 + -1x Solving -6 + 5x = 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 + 5x + x = 12 + -1x + x Combine like terms: 5x + x = 6x -6 + 6x = 12 + -1x + x Combine like terms: -1x + x = 0 -6 + 6x = 12 + 0 -6 + 6x = 12 Add '6' to each side of the equation. -6 + 6 + 6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = 12 + 6 6x = 12 + 6 Combine like terms: 12 + 6 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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