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Simplifying -82 = -7(x + -1) + -19 Reorder the terms: -82 = -7(-1 + x) + -19 -82 = (-1 * -7 + x * -7) + -19 -82 = (7 + -7x) + -19 Reorder the terms: -82 = 7 + -19 + -7x Combine like terms: 7 + -19 = -12 -82 = -12 + -7x Solving -82 = -12 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -82 + 7x = -12 + -7x + 7x Combine like terms: -7x + 7x = 0 -82 + 7x = -12 + 0 -82 + 7x = -12 Add '82' to each side of the equation. -82 + 82 + 7x = -12 + 82 Combine like terms: -82 + 82 = 0 0 + 7x = -12 + 82 7x = -12 + 82 Combine like terms: -12 + 82 = 70 7x = 70 Divide each side by '7'. x = 10 Simplifying x = 10
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