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Simplifying -82 = 7x + -5(x + 14) Reorder the terms: -82 = 7x + -5(14 + x) -82 = 7x + (14 * -5 + x * -5) -82 = 7x + (-70 + -5x) Reorder the terms: -82 = -70 + 7x + -5x Combine like terms: 7x + -5x = 2x -82 = -70 + 2x Solving -82 = -70 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -82 + -2x = -70 + 2x + -2x Combine like terms: 2x + -2x = 0 -82 + -2x = -70 + 0 -82 + -2x = -70 Add '82' to each side of the equation. -82 + 82 + -2x = -70 + 82 Combine like terms: -82 + 82 = 0 0 + -2x = -70 + 82 -2x = -70 + 82 Combine like terms: -70 + 82 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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