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Simplifying 251 = 3x + 5(7x + -41) Reorder the terms: 251 = 3x + 5(-41 + 7x) 251 = 3x + (-41 * 5 + 7x * 5) 251 = 3x + (-205 + 35x) Reorder the terms: 251 = -205 + 3x + 35x Combine like terms: 3x + 35x = 38x 251 = -205 + 38x Solving 251 = -205 + 38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38x' to each side of the equation. 251 + -38x = -205 + 38x + -38x Combine like terms: 38x + -38x = 0 251 + -38x = -205 + 0 251 + -38x = -205 Add '-251' to each side of the equation. 251 + -251 + -38x = -205 + -251 Combine like terms: 251 + -251 = 0 0 + -38x = -205 + -251 -38x = -205 + -251 Combine like terms: -205 + -251 = -456 -38x = -456 Divide each side by '-38'. x = 12 Simplifying x = 12
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