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Simplifying 5x + 7(-1x + -10) = -82 Reorder the terms: 5x + 7(-10 + -1x) = -82 5x + (-10 * 7 + -1x * 7) = -82 5x + (-70 + -7x) = -82 Reorder the terms: -70 + 5x + -7x = -82 Combine like terms: 5x + -7x = -2x -70 + -2x = -82 Solving -70 + -2x = -82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -2x = -82 + 70 Combine like terms: -70 + 70 = 0 0 + -2x = -82 + 70 -2x = -82 + 70 Combine like terms: -82 + 70 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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