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Simplifying -6(2 + x) + 5(6 + 5x) = -39 (2 * -6 + x * -6) + 5(6 + 5x) = -39 (-12 + -6x) + 5(6 + 5x) = -39 -12 + -6x + (6 * 5 + 5x * 5) = -39 -12 + -6x + (30 + 25x) = -39 Reorder the terms: -12 + 30 + -6x + 25x = -39 Combine like terms: -12 + 30 = 18 18 + -6x + 25x = -39 Combine like terms: -6x + 25x = 19x 18 + 19x = -39 Solving 18 + 19x = -39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 19x = -39 + -18 Combine like terms: 18 + -18 = 0 0 + 19x = -39 + -18 19x = -39 + -18 Combine like terms: -39 + -18 = -57 19x = -57 Divide each side by '19'. x = -3 Simplifying x = -3
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