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Simplifying (-3x + 1)(2x + -7) + 6x2 + -2 = 0 Reorder the terms: (1 + -3x)(2x + -7) + 6x2 + -2 = 0 Reorder the terms: (1 + -3x)(-7 + 2x) + 6x2 + -2 = 0 Multiply (1 + -3x) * (-7 + 2x) (1(-7 + 2x) + -3x * (-7 + 2x)) + 6x2 + -2 = 0 ((-7 * 1 + 2x * 1) + -3x * (-7 + 2x)) + 6x2 + -2 = 0 ((-7 + 2x) + -3x * (-7 + 2x)) + 6x2 + -2 = 0 (-7 + 2x + (-7 * -3x + 2x * -3x)) + 6x2 + -2 = 0 (-7 + 2x + (21x + -6x2)) + 6x2 + -2 = 0 Combine like terms: 2x + 21x = 23x (-7 + 23x + -6x2) + 6x2 + -2 = 0 Reorder the terms: -7 + -2 + 23x + -6x2 + 6x2 = 0 Combine like terms: -7 + -2 = -9 -9 + 23x + -6x2 + 6x2 = 0 Combine like terms: -6x2 + 6x2 = 0 -9 + 23x + 0 = 0 -9 + 23x = 0 Solving -9 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 23x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 23x = 0 + 9 23x = 0 + 9 Combine like terms: 0 + 9 = 9 23x = 9 Divide each side by '23'. x = 0.3913043478 Simplifying x = 0.3913043478
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