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Simplifying 3(7x + -2) + -5(4x + -2) = 6 Reorder the terms: 3(-2 + 7x) + -5(4x + -2) = 6 (-2 * 3 + 7x * 3) + -5(4x + -2) = 6 (-6 + 21x) + -5(4x + -2) = 6 Reorder the terms: -6 + 21x + -5(-2 + 4x) = 6 -6 + 21x + (-2 * -5 + 4x * -5) = 6 -6 + 21x + (10 + -20x) = 6 Reorder the terms: -6 + 10 + 21x + -20x = 6 Combine like terms: -6 + 10 = 4 4 + 21x + -20x = 6 Combine like terms: 21x + -20x = 1x 4 + 1x = 6 Solving 4 + 1x = 6 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 = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 6 + -4 1x = 6 + -4 Combine like terms: 6 + -4 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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