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Simplifying 5(7 + -2x) + -8x = 82 (7 * 5 + -2x * 5) + -8x = 82 (35 + -10x) + -8x = 82 Combine like terms: -10x + -8x = -18x 35 + -18x = 82 Solving 35 + -18x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -18x = 82 + -35 Combine like terms: 35 + -35 = 0 0 + -18x = 82 + -35 -18x = 82 + -35 Combine like terms: 82 + -35 = 47 -18x = 47 Divide each side by '-18'. x = -2.611111111 Simplifying x = -2.611111111
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