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Simplifying 2x + 3(-3x + 11) = 82 Reorder the terms: 2x + 3(11 + -3x) = 82 2x + (11 * 3 + -3x * 3) = 82 2x + (33 + -9x) = 82 Reorder the terms: 33 + 2x + -9x = 82 Combine like terms: 2x + -9x = -7x 33 + -7x = 82 Solving 33 + -7x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + -7x = 82 + -33 Combine like terms: 33 + -33 = 0 0 + -7x = 82 + -33 -7x = 82 + -33 Combine like terms: 82 + -33 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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