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Simplifying 3(4x + -2) + -2(5x + -7) = 20 Reorder the terms: 3(-2 + 4x) + -2(5x + -7) = 20 (-2 * 3 + 4x * 3) + -2(5x + -7) = 20 (-6 + 12x) + -2(5x + -7) = 20 Reorder the terms: -6 + 12x + -2(-7 + 5x) = 20 -6 + 12x + (-7 * -2 + 5x * -2) = 20 -6 + 12x + (14 + -10x) = 20 Reorder the terms: -6 + 14 + 12x + -10x = 20 Combine like terms: -6 + 14 = 8 8 + 12x + -10x = 20 Combine like terms: 12x + -10x = 2x 8 + 2x = 20 Solving 8 + 2x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 20 + -8 2x = 20 + -8 Combine like terms: 20 + -8 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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