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Simplifying 3x(x + -1) + -1(x + 3)(3x + -2) = 26 Reorder the terms: 3x(-1 + x) + -1(x + 3)(3x + -2) = 26 (-1 * 3x + x * 3x) + -1(x + 3)(3x + -2) = 26 (-3x + 3x2) + -1(x + 3)(3x + -2) = 26 Reorder the terms: -3x + 3x2 + -1(3 + x)(3x + -2) = 26 Reorder the terms: -3x + 3x2 + -1(3 + x)(-2 + 3x) = 26 Multiply (3 + x) * (-2 + 3x) -3x + 3x2 + -1(3(-2 + 3x) + x(-2 + 3x)) = 26 -3x + 3x2 + -1((-2 * 3 + 3x * 3) + x(-2 + 3x)) = 26 -3x + 3x2 + -1((-6 + 9x) + x(-2 + 3x)) = 26 -3x + 3x2 + -1(-6 + 9x + (-2 * x + 3x * x)) = 26 -3x + 3x2 + -1(-6 + 9x + (-2x + 3x2)) = 26 Combine like terms: 9x + -2x = 7x -3x + 3x2 + -1(-6 + 7x + 3x2) = 26 -3x + 3x2 + (-6 * -1 + 7x * -1 + 3x2 * -1) = 26 -3x + 3x2 + (6 + -7x + -3x2) = 26 Reorder the terms: 6 + -3x + -7x + 3x2 + -3x2 = 26 Combine like terms: -3x + -7x = -10x 6 + -10x + 3x2 + -3x2 = 26 Combine like terms: 3x2 + -3x2 = 0 6 + -10x + 0 = 26 6 + -10x = 26 Solving 6 + -10x = 26 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -10x = 26 + -6 Combine like terms: 6 + -6 = 0 0 + -10x = 26 + -6 -10x = 26 + -6 Combine like terms: 26 + -6 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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