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Simplifying (3x + -2)(3x + 2) = 9x(x + -1) + 5 Reorder the terms: (-2 + 3x)(3x + 2) = 9x(x + -1) + 5 Reorder the terms: (-2 + 3x)(2 + 3x) = 9x(x + -1) + 5 Multiply (-2 + 3x) * (2 + 3x) (-2(2 + 3x) + 3x * (2 + 3x)) = 9x(x + -1) + 5 ((2 * -2 + 3x * -2) + 3x * (2 + 3x)) = 9x(x + -1) + 5 ((-4 + -6x) + 3x * (2 + 3x)) = 9x(x + -1) + 5 (-4 + -6x + (2 * 3x + 3x * 3x)) = 9x(x + -1) + 5 (-4 + -6x + (6x + 9x2)) = 9x(x + -1) + 5 Combine like terms: -6x + 6x = 0 (-4 + 0 + 9x2) = 9x(x + -1) + 5 (-4 + 9x2) = 9x(x + -1) + 5 Reorder the terms: -4 + 9x2 = 9x(-1 + x) + 5 -4 + 9x2 = (-1 * 9x + x * 9x) + 5 -4 + 9x2 = (-9x + 9x2) + 5 Reorder the terms: -4 + 9x2 = 5 + -9x + 9x2 Add '-9x2' to each side of the equation. -4 + 9x2 + -9x2 = 5 + -9x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -4 + 0 = 5 + -9x + 9x2 + -9x2 -4 = 5 + -9x + 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -4 = 5 + -9x + 0 -4 = 5 + -9x Solving -4 = 5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -4 + 9x = 5 + -9x + 9x Combine like terms: -9x + 9x = 0 -4 + 9x = 5 + 0 -4 + 9x = 5 Add '4' to each side of the equation. -4 + 4 + 9x = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 9x = 5 + 4 9x = 5 + 4 Combine like terms: 5 + 4 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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