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Simplifying 3(2 + -6x + -7x) + 5(8x + 2) = 27 Combine like terms: -6x + -7x = -13x 3(2 + -13x) + 5(8x + 2) = 27 (2 * 3 + -13x * 3) + 5(8x + 2) = 27 (6 + -39x) + 5(8x + 2) = 27 Reorder the terms: 6 + -39x + 5(2 + 8x) = 27 6 + -39x + (2 * 5 + 8x * 5) = 27 6 + -39x + (10 + 40x) = 27 Reorder the terms: 6 + 10 + -39x + 40x = 27 Combine like terms: 6 + 10 = 16 16 + -39x + 40x = 27 Combine like terms: -39x + 40x = 1x 16 + 1x = 27 Solving 16 + 1x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 1x = 27 + -16 Combine like terms: 16 + -16 = 0 0 + 1x = 27 + -16 1x = 27 + -16 Combine like terms: 27 + -16 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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