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Simplifying 6x(2x + -3) = 4(3x2 + 9) Reorder the terms: 6x(-3 + 2x) = 4(3x2 + 9) (-3 * 6x + 2x * 6x) = 4(3x2 + 9) (-18x + 12x2) = 4(3x2 + 9) Reorder the terms: -18x + 12x2 = 4(9 + 3x2) -18x + 12x2 = (9 * 4 + 3x2 * 4) -18x + 12x2 = (36 + 12x2) Add '-12x2' to each side of the equation. -18x + 12x2 + -12x2 = 36 + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -18x + 0 = 36 + 12x2 + -12x2 -18x = 36 + 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -18x = 36 + 0 -18x = 36 Solving -18x = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-18'. x = -2 Simplifying x = -2
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