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Simplifying 3(2x + 7) + -2(x + -1) = 27 Reorder the terms: 3(7 + 2x) + -2(x + -1) = 27 (7 * 3 + 2x * 3) + -2(x + -1) = 27 (21 + 6x) + -2(x + -1) = 27 Reorder the terms: 21 + 6x + -2(-1 + x) = 27 21 + 6x + (-1 * -2 + x * -2) = 27 21 + 6x + (2 + -2x) = 27 Reorder the terms: 21 + 2 + 6x + -2x = 27 Combine like terms: 21 + 2 = 23 23 + 6x + -2x = 27 Combine like terms: 6x + -2x = 4x 23 + 4x = 27 Solving 23 + 4x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4x = 27 + -23 Combine like terms: 23 + -23 = 0 0 + 4x = 27 + -23 4x = 27 + -23 Combine like terms: 27 + -23 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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