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Simplifying -3x + 5(-3x + -6) = -39 + -9x Reorder the terms: -3x + 5(-6 + -3x) = -39 + -9x -3x + (-6 * 5 + -3x * 5) = -39 + -9x -3x + (-30 + -15x) = -39 + -9x Reorder the terms: -30 + -3x + -15x = -39 + -9x Combine like terms: -3x + -15x = -18x -30 + -18x = -39 + -9x Solving -30 + -18x = -39 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -30 + -18x + 9x = -39 + -9x + 9x Combine like terms: -18x + 9x = -9x -30 + -9x = -39 + -9x + 9x Combine like terms: -9x + 9x = 0 -30 + -9x = -39 + 0 -30 + -9x = -39 Add '30' to each side of the equation. -30 + 30 + -9x = -39 + 30 Combine like terms: -30 + 30 = 0 0 + -9x = -39 + 30 -9x = -39 + 30 Combine like terms: -39 + 30 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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