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Simplifying (3x + -8)(x + -2) = -14x Reorder the terms: (-8 + 3x)(x + -2) = -14x Reorder the terms: (-8 + 3x)(-2 + x) = -14x Multiply (-8 + 3x) * (-2 + x) (-8(-2 + x) + 3x * (-2 + x)) = -14x ((-2 * -8 + x * -8) + 3x * (-2 + x)) = -14x ((16 + -8x) + 3x * (-2 + x)) = -14x (16 + -8x + (-2 * 3x + x * 3x)) = -14x (16 + -8x + (-6x + 3x2)) = -14x Combine like terms: -8x + -6x = -14x (16 + -14x + 3x2) = -14x Add '14x' to each side of the equation. 16 + -14x + 14x + 3x2 = -14x + 14x Combine like terms: -14x + 14x = 0 16 + 0 + 3x2 = -14x + 14x 16 + 3x2 = -14x + 14x Combine like terms: -14x + 14x = 0 16 + 3x2 = 0 Solving 16 + 3x2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 3x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3x2 = 0 + -16 3x2 = 0 + -16 Combine like terms: 0 + -16 = -16 3x2 = -16 Divide each side by '3'. x2 = -5.333333333 Simplifying x2 = -5.333333333 Reorder the terms: 5.333333333 + x2 = -5.333333333 + 5.333333333 Combine like terms: -5.333333333 + 5.333333333 = 0.000000000 5.333333333 + x2 = 0.000000000 The solution to this equation could not be determined.
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