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Simplifying (6x + -1)(6x + 1) + -4x(9x + 2) = -1 Reorder the terms: (-1 + 6x)(6x + 1) + -4x(9x + 2) = -1 Reorder the terms: (-1 + 6x)(1 + 6x) + -4x(9x + 2) = -1 Multiply (-1 + 6x) * (1 + 6x) (-1(1 + 6x) + 6x * (1 + 6x)) + -4x(9x + 2) = -1 ((1 * -1 + 6x * -1) + 6x * (1 + 6x)) + -4x(9x + 2) = -1 ((-1 + -6x) + 6x * (1 + 6x)) + -4x(9x + 2) = -1 (-1 + -6x + (1 * 6x + 6x * 6x)) + -4x(9x + 2) = -1 (-1 + -6x + (6x + 36x2)) + -4x(9x + 2) = -1 Combine like terms: -6x + 6x = 0 (-1 + 0 + 36x2) + -4x(9x + 2) = -1 (-1 + 36x2) + -4x(9x + 2) = -1 Reorder the terms: -1 + 36x2 + -4x(2 + 9x) = -1 -1 + 36x2 + (2 * -4x + 9x * -4x) = -1 -1 + 36x2 + (-8x + -36x2) = -1 Reorder the terms: -1 + -8x + 36x2 + -36x2 = -1 Combine like terms: 36x2 + -36x2 = 0 -1 + -8x + 0 = -1 -1 + -8x = -1 Add '1' to each side of the equation. -1 + 1 + -8x = -1 + 1 Combine like terms: -1 + 1 = 0 0 + -8x = -1 + 1 -8x = -1 + 1 Combine like terms: -1 + 1 = 0 -8x = 0 Solving -8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-8'. x = 0 Simplifying x = 0
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