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Simplifying 5x + -3(7x + -10) = 82 Reorder the terms: 5x + -3(-10 + 7x) = 82 5x + (-10 * -3 + 7x * -3) = 82 5x + (30 + -21x) = 82 Reorder the terms: 30 + 5x + -21x = 82 Combine like terms: 5x + -21x = -16x 30 + -16x = 82 Solving 30 + -16x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -16x = 82 + -30 Combine like terms: 30 + -30 = 0 0 + -16x = 82 + -30 -16x = 82 + -30 Combine like terms: 82 + -30 = 52 -16x = 52 Divide each side by '-16'. x = -3.25 Simplifying x = -3.25
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