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Simplifying -337 = -6x + -5(7x + 10) Reorder the terms: -337 = -6x + -5(10 + 7x) -337 = -6x + (10 * -5 + 7x * -5) -337 = -6x + (-50 + -35x) Reorder the terms: -337 = -50 + -6x + -35x Combine like terms: -6x + -35x = -41x -337 = -50 + -41x Solving -337 = -50 + -41x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41x' to each side of the equation. -337 + 41x = -50 + -41x + 41x Combine like terms: -41x + 41x = 0 -337 + 41x = -50 + 0 -337 + 41x = -50 Add '337' to each side of the equation. -337 + 337 + 41x = -50 + 337 Combine like terms: -337 + 337 = 0 0 + 41x = -50 + 337 41x = -50 + 337 Combine like terms: -50 + 337 = 287 41x = 287 Divide each side by '41'. x = 7 Simplifying x = 7
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