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Simplifying (2x + -9)(3x + 2) = 6x2 + 28 Reorder the terms: (-9 + 2x)(3x + 2) = 6x2 + 28 Reorder the terms: (-9 + 2x)(2 + 3x) = 6x2 + 28 Multiply (-9 + 2x) * (2 + 3x) (-9(2 + 3x) + 2x * (2 + 3x)) = 6x2 + 28 ((2 * -9 + 3x * -9) + 2x * (2 + 3x)) = 6x2 + 28 ((-18 + -27x) + 2x * (2 + 3x)) = 6x2 + 28 (-18 + -27x + (2 * 2x + 3x * 2x)) = 6x2 + 28 (-18 + -27x + (4x + 6x2)) = 6x2 + 28 Combine like terms: -27x + 4x = -23x (-18 + -23x + 6x2) = 6x2 + 28 Reorder the terms: -18 + -23x + 6x2 = 28 + 6x2 Add '-6x2' to each side of the equation. -18 + -23x + 6x2 + -6x2 = 28 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -18 + -23x + 0 = 28 + 6x2 + -6x2 -18 + -23x = 28 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 -18 + -23x = 28 + 0 -18 + -23x = 28 Solving -18 + -23x = 28 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -23x = 28 + 18 Combine like terms: -18 + 18 = 0 0 + -23x = 28 + 18 -23x = 28 + 18 Combine like terms: 28 + 18 = 46 -23x = 46 Divide each side by '-23'. x = -2 Simplifying x = -2
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