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Simplifying 6x + -1(3x + 6) + 20 = 38 Reorder the terms: 6x + -1(6 + 3x) + 20 = 38 6x + (6 * -1 + 3x * -1) + 20 = 38 6x + (-6 + -3x) + 20 = 38 Reorder the terms: -6 + 20 + 6x + -3x = 38 Combine like terms: -6 + 20 = 14 14 + 6x + -3x = 38 Combine like terms: 6x + -3x = 3x 14 + 3x = 38 Solving 14 + 3x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3x = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 3x = 38 + -14 3x = 38 + -14 Combine like terms: 38 + -14 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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