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Simplifying 7x + -5(5x + -5) = -83 Reorder the terms: 7x + -5(-5 + 5x) = -83 7x + (-5 * -5 + 5x * -5) = -83 7x + (25 + -25x) = -83 Reorder the terms: 25 + 7x + -25x = -83 Combine like terms: 7x + -25x = -18x 25 + -18x = -83 Solving 25 + -18x = -83 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -18x = -83 + -25 Combine like terms: 25 + -25 = 0 0 + -18x = -83 + -25 -18x = -83 + -25 Combine like terms: -83 + -25 = -108 -18x = -108 Divide each side by '-18'. x = 6 Simplifying x = 6
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