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Simplifying 6x + 3(-6x + 17) = -9 Reorder the terms: 6x + 3(17 + -6x) = -9 6x + (17 * 3 + -6x * 3) = -9 6x + (51 + -18x) = -9 Reorder the terms: 51 + 6x + -18x = -9 Combine like terms: 6x + -18x = -12x 51 + -12x = -9 Solving 51 + -12x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -12x = -9 + -51 Combine like terms: 51 + -51 = 0 0 + -12x = -9 + -51 -12x = -9 + -51 Combine like terms: -9 + -51 = -60 -12x = -60 Divide each side by '-12'. x = 5 Simplifying x = 5
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