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Simplifying 3(3x + -2) + -2(4x + -5) = 12 Reorder the terms: 3(-2 + 3x) + -2(4x + -5) = 12 (-2 * 3 + 3x * 3) + -2(4x + -5) = 12 (-6 + 9x) + -2(4x + -5) = 12 Reorder the terms: -6 + 9x + -2(-5 + 4x) = 12 -6 + 9x + (-5 * -2 + 4x * -2) = 12 -6 + 9x + (10 + -8x) = 12 Reorder the terms: -6 + 10 + 9x + -8x = 12 Combine like terms: -6 + 10 = 4 4 + 9x + -8x = 12 Combine like terms: 9x + -8x = 1x 4 + 1x = 12 Solving 4 + 1x = 12 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 + 1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 12 + -4 1x = 12 + -4 Combine like terms: 12 + -4 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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