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Simplifying 2(4 + -3x) = 82 + -2x (4 * 2 + -3x * 2) = 82 + -2x (8 + -6x) = 82 + -2x Solving 8 + -6x = 82 + -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. 8 + -6x + 2x = 82 + -2x + 2x Combine like terms: -6x + 2x = -4x 8 + -4x = 82 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + -4x = 82 + 0 8 + -4x = 82 Add '-8' to each side of the equation. 8 + -8 + -4x = 82 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 82 + -8 -4x = 82 + -8 Combine like terms: 82 + -8 = 74 -4x = 74 Divide each side by '-4'. x = -18.5 Simplifying x = -18.5
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