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Simplifying 3(2x + 6) + 5(-1x + 2) = 20 Reorder the terms: 3(6 + 2x) + 5(-1x + 2) = 20 (6 * 3 + 2x * 3) + 5(-1x + 2) = 20 (18 + 6x) + 5(-1x + 2) = 20 Reorder the terms: 18 + 6x + 5(2 + -1x) = 20 18 + 6x + (2 * 5 + -1x * 5) = 20 18 + 6x + (10 + -5x) = 20 Reorder the terms: 18 + 10 + 6x + -5x = 20 Combine like terms: 18 + 10 = 28 28 + 6x + -5x = 20 Combine like terms: 6x + -5x = 1x 28 + 1x = 20 Solving 28 + 1x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1x = 20 + -28 Combine like terms: 28 + -28 = 0 0 + 1x = 20 + -28 1x = 20 + -28 Combine like terms: 20 + -28 = -8 1x = -8 Divide each side by '1'. x = -8 Simplifying x = -8
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