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Simplifying -2(3x + 9) + 5(2x + 3) = -39 Reorder the terms: -2(9 + 3x) + 5(2x + 3) = -39 (9 * -2 + 3x * -2) + 5(2x + 3) = -39 (-18 + -6x) + 5(2x + 3) = -39 Reorder the terms: -18 + -6x + 5(3 + 2x) = -39 -18 + -6x + (3 * 5 + 2x * 5) = -39 -18 + -6x + (15 + 10x) = -39 Reorder the terms: -18 + 15 + -6x + 10x = -39 Combine like terms: -18 + 15 = -3 -3 + -6x + 10x = -39 Combine like terms: -6x + 10x = 4x -3 + 4x = -39 Solving -3 + 4x = -39 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 4x = -39 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -39 + 3 4x = -39 + 3 Combine like terms: -39 + 3 = -36 4x = -36 Divide each side by '4'. x = -9 Simplifying x = -9
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