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Simplifying -16(-1 + -3x) = 82 + 15x (-1 * -16 + -3x * -16) = 82 + 15x (16 + 48x) = 82 + 15x Solving 16 + 48x = 82 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 16 + 48x + -15x = 82 + 15x + -15x Combine like terms: 48x + -15x = 33x 16 + 33x = 82 + 15x + -15x Combine like terms: 15x + -15x = 0 16 + 33x = 82 + 0 16 + 33x = 82 Add '-16' to each side of the equation. 16 + -16 + 33x = 82 + -16 Combine like terms: 16 + -16 = 0 0 + 33x = 82 + -16 33x = 82 + -16 Combine like terms: 82 + -16 = 66 33x = 66 Divide each side by '33'. x = 2 Simplifying x = 2
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