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Simplifying 41x + 18 = 49x + 42 Reorder the terms: 18 + 41x = 49x + 42 Reorder the terms: 18 + 41x = 42 + 49x Solving 18 + 41x = 42 + 49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49x' to each side of the equation. 18 + 41x + -49x = 42 + 49x + -49x Combine like terms: 41x + -49x = -8x 18 + -8x = 42 + 49x + -49x Combine like terms: 49x + -49x = 0 18 + -8x = 42 + 0 18 + -8x = 42 Add '-18' to each side of the equation. 18 + -18 + -8x = 42 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = 42 + -18 -8x = 42 + -18 Combine like terms: 42 + -18 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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