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Simplifying 2(5x + -3) + -1x + 5 = -82 Reorder the terms: 2(-3 + 5x) + -1x + 5 = -82 (-3 * 2 + 5x * 2) + -1x + 5 = -82 (-6 + 10x) + -1x + 5 = -82 Reorder the terms: -6 + 5 + 10x + -1x = -82 Combine like terms: -6 + 5 = -1 -1 + 10x + -1x = -82 Combine like terms: 10x + -1x = 9x -1 + 9x = -82 Solving -1 + 9x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 9x = -82 + 1 Combine like terms: -1 + 1 = 0 0 + 9x = -82 + 1 9x = -82 + 1 Combine like terms: -82 + 1 = -81 9x = -81 Divide each side by '9'. x = -9 Simplifying x = -9
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