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Simplifying (2x + 3)(3x + -6) = 3x(2x + -1) Reorder the terms: (3 + 2x)(3x + -6) = 3x(2x + -1) Reorder the terms: (3 + 2x)(-6 + 3x) = 3x(2x + -1) Multiply (3 + 2x) * (-6 + 3x) (3(-6 + 3x) + 2x * (-6 + 3x)) = 3x(2x + -1) ((-6 * 3 + 3x * 3) + 2x * (-6 + 3x)) = 3x(2x + -1) ((-18 + 9x) + 2x * (-6 + 3x)) = 3x(2x + -1) (-18 + 9x + (-6 * 2x + 3x * 2x)) = 3x(2x + -1) (-18 + 9x + (-12x + 6x2)) = 3x(2x + -1) Combine like terms: 9x + -12x = -3x (-18 + -3x + 6x2) = 3x(2x + -1) Reorder the terms: -18 + -3x + 6x2 = 3x(-1 + 2x) -18 + -3x + 6x2 = (-1 * 3x + 2x * 3x) -18 + -3x + 6x2 = (-3x + 6x2) Add '3x' to each side of the equation. -18 + -3x + 3x + 6x2 = -3x + 3x + 6x2 Combine like terms: -3x + 3x = 0 -18 + 0 + 6x2 = -3x + 3x + 6x2 -18 + 6x2 = -3x + 3x + 6x2 Combine like terms: -3x + 3x = 0 -18 + 6x2 = 0 + 6x2 -18 + 6x2 = 6x2 Add '-6x2' to each side of the equation. -18 + 6x2 + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -18 + 0 = 6x2 + -6x2 -18 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -18 = 0 Solving -18 = 0 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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