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Simplifying 2(3x + -1) + -3(4x + -2) = -8 Reorder the terms: 2(-1 + 3x) + -3(4x + -2) = -8 (-1 * 2 + 3x * 2) + -3(4x + -2) = -8 (-2 + 6x) + -3(4x + -2) = -8 Reorder the terms: -2 + 6x + -3(-2 + 4x) = -8 -2 + 6x + (-2 * -3 + 4x * -3) = -8 -2 + 6x + (6 + -12x) = -8 Reorder the terms: -2 + 6 + 6x + -12x = -8 Combine like terms: -2 + 6 = 4 4 + 6x + -12x = -8 Combine like terms: 6x + -12x = -6x 4 + -6x = -8 Solving 4 + -6x = -8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -6x = -8 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = -8 + -4 -6x = -8 + -4 Combine like terms: -8 + -4 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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