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Simplifying (3x + -1)(3x + -1) + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x Reorder the terms: (-1 + 3x)(3x + -1) + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x Reorder the terms: (-1 + 3x)(-1 + 3x) + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x Multiply (-1 + 3x) * (-1 + 3x) (-1(-1 + 3x) + 3x * (-1 + 3x)) + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x ((-1 * -1 + 3x * -1) + 3x * (-1 + 3x)) + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x ((1 + -3x) + 3x * (-1 + 3x)) + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x (1 + -3x + (-1 * 3x + 3x * 3x)) + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x (1 + -3x + (-3x + 9x2)) + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x Combine like terms: -3x + -3x = -6x (1 + -6x + 9x2) + 2x(1 + -1x) + 2 = x + -7(1 + -1x) * x 1 + -6x + 9x2 + (1 * 2x + -1x * 2x) + 2 = x + -7(1 + -1x) * x 1 + -6x + 9x2 + (2x + -2x2) + 2 = x + -7(1 + -1x) * x Reorder the terms: 1 + 2 + -6x + 2x + 9x2 + -2x2 = x + -7(1 + -1x) * x Combine like terms: 1 + 2 = 3 3 + -6x + 2x + 9x2 + -2x2 = x + -7(1 + -1x) * x Combine like terms: -6x + 2x = -4x 3 + -4x + 9x2 + -2x2 = x + -7(1 + -1x) * x Combine like terms: 9x2 + -2x2 = 7x2 3 + -4x + 7x2 = x + -7(1 + -1x) * x Reorder the terms for easier multiplication: 3 + -4x + 7x2 = x + -7x(1 + -1x) 3 + -4x + 7x2 = x + (1 * -7x + -1x * -7x) 3 + -4x + 7x2 = x + (-7x + 7x2) Combine like terms: x + -7x = -6x 3 + -4x + 7x2 = -6x + 7x2 Add '-7x2' to each side of the equation. 3 + -4x + 7x2 + -7x2 = -6x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 3 + -4x + 0 = -6x + 7x2 + -7x2 3 + -4x = -6x + 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 3 + -4x = -6x + 0 3 + -4x = -6x Solving 3 + -4x = -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + -4x + 6x = -6x + 6x Combine like terms: -4x + 6x = 2x 3 + 2x = -6x + 6x Combine like terms: -6x + 6x = 0 3 + 2x = 0 Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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