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Simplifying 687 + -344 = 49(x + -1) Combine like terms: 687 + -344 = 343 343 = 49(x + -1) Reorder the terms: 343 = 49(-1 + x) 343 = (-1 * 49 + x * 49) 343 = (-49 + 49x) Solving 343 = -49 + 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. 343 + -49x = -49 + 49x + -49x Combine like terms: 49x + -49x = 0 343 + -49x = -49 + 0 343 + -49x = -49 Add '-343' to each side of the equation. 343 + -343 + -49x = -49 + -343 Combine like terms: 343 + -343 = 0 0 + -49x = -49 + -343 -49x = -49 + -343 Combine like terms: -49 + -343 = -392 -49x = -392 Divide each side by '-49'. x = 8 Simplifying x = 8
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