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Simplifying 2(2x + 41) = -1(x + -52) Reorder the terms: 2(41 + 2x) = -1(x + -52) (41 * 2 + 2x * 2) = -1(x + -52) (82 + 4x) = -1(x + -52) Reorder the terms: 82 + 4x = -1(-52 + x) 82 + 4x = (-52 * -1 + x * -1) 82 + 4x = (52 + -1x) Solving 82 + 4x = 52 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 82 + 4x + x = 52 + -1x + x Combine like terms: 4x + x = 5x 82 + 5x = 52 + -1x + x Combine like terms: -1x + x = 0 82 + 5x = 52 + 0 82 + 5x = 52 Add '-82' to each side of the equation. 82 + -82 + 5x = 52 + -82 Combine like terms: 82 + -82 = 0 0 + 5x = 52 + -82 5x = 52 + -82 Combine like terms: 52 + -82 = -30 5x = -30 Divide each side by '5'. x = -6 Simplifying x = -6
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