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Simplifying 3x(x + -6) = 11 + (x + -1)(3x + -1) Reorder the terms: 3x(-6 + x) = 11 + (x + -1)(3x + -1) (-6 * 3x + x * 3x) = 11 + (x + -1)(3x + -1) (-18x + 3x2) = 11 + (x + -1)(3x + -1) Reorder the terms: -18x + 3x2 = 11 + (-1 + x)(3x + -1) Reorder the terms: -18x + 3x2 = 11 + (-1 + x)(-1 + 3x) Multiply (-1 + x) * (-1 + 3x) -18x + 3x2 = 11 + (-1(-1 + 3x) + x(-1 + 3x)) -18x + 3x2 = 11 + ((-1 * -1 + 3x * -1) + x(-1 + 3x)) -18x + 3x2 = 11 + ((1 + -3x) + x(-1 + 3x)) -18x + 3x2 = 11 + (1 + -3x + (-1 * x + 3x * x)) -18x + 3x2 = 11 + (1 + -3x + (-1x + 3x2)) Combine like terms: -3x + -1x = -4x -18x + 3x2 = 11 + (1 + -4x + 3x2) Combine like terms: 11 + 1 = 12 -18x + 3x2 = 12 + -4x + 3x2 Add '-3x2' to each side of the equation. -18x + 3x2 + -3x2 = 12 + -4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -18x + 0 = 12 + -4x + 3x2 + -3x2 -18x = 12 + -4x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -18x = 12 + -4x + 0 -18x = 12 + -4x Solving -18x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -18x + 4x = 12 + -4x + 4x Combine like terms: -18x + 4x = -14x -14x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -14x = 12 + 0 -14x = 12 Divide each side by '-14'. x = -0.8571428571 Simplifying x = -0.8571428571
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