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Simplifying (3x + -1)(2x + -2) = 6x2 + -18 Reorder the terms: (-1 + 3x)(2x + -2) = 6x2 + -18 Reorder the terms: (-1 + 3x)(-2 + 2x) = 6x2 + -18 Multiply (-1 + 3x) * (-2 + 2x) (-1(-2 + 2x) + 3x * (-2 + 2x)) = 6x2 + -18 ((-2 * -1 + 2x * -1) + 3x * (-2 + 2x)) = 6x2 + -18 ((2 + -2x) + 3x * (-2 + 2x)) = 6x2 + -18 (2 + -2x + (-2 * 3x + 2x * 3x)) = 6x2 + -18 (2 + -2x + (-6x + 6x2)) = 6x2 + -18 Combine like terms: -2x + -6x = -8x (2 + -8x + 6x2) = 6x2 + -18 Reorder the terms: 2 + -8x + 6x2 = -18 + 6x2 Add '-6x2' to each side of the equation. 2 + -8x + 6x2 + -6x2 = -18 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2 + -8x + 0 = -18 + 6x2 + -6x2 2 + -8x = -18 + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 2 + -8x = -18 + 0 2 + -8x = -18 Solving 2 + -8x = -18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -8x = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -8x = -18 + -2 -8x = -18 + -2 Combine like terms: -18 + -2 = -20 -8x = -20 Divide each side by '-8'. x = 2.5 Simplifying x = 2.5
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