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Simplifying 3(3x + 2) + 6(5x + -2) = -9 Reorder the terms: 3(2 + 3x) + 6(5x + -2) = -9 (2 * 3 + 3x * 3) + 6(5x + -2) = -9 (6 + 9x) + 6(5x + -2) = -9 Reorder the terms: 6 + 9x + 6(-2 + 5x) = -9 6 + 9x + (-2 * 6 + 5x * 6) = -9 6 + 9x + (-12 + 30x) = -9 Reorder the terms: 6 + -12 + 9x + 30x = -9 Combine like terms: 6 + -12 = -6 -6 + 9x + 30x = -9 Combine like terms: 9x + 30x = 39x -6 + 39x = -9 Solving -6 + 39x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 39x = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 39x = -9 + 6 39x = -9 + 6 Combine like terms: -9 + 6 = -3 39x = -3 Divide each side by '39'. x = -0.07692307692 Simplifying x = -0.07692307692
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