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Simplifying 82 = 2x + -4(-1x + -13) Reorder the terms: 82 = 2x + -4(-13 + -1x) 82 = 2x + (-13 * -4 + -1x * -4) 82 = 2x + (52 + 4x) Reorder the terms: 82 = 52 + 2x + 4x Combine like terms: 2x + 4x = 6x 82 = 52 + 6x Solving 82 = 52 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 82 + -6x = 52 + 6x + -6x Combine like terms: 6x + -6x = 0 82 + -6x = 52 + 0 82 + -6x = 52 Add '-82' to each side of the equation. 82 + -82 + -6x = 52 + -82 Combine like terms: 82 + -82 = 0 0 + -6x = 52 + -82 -6x = 52 + -82 Combine like terms: 52 + -82 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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