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Simplifying 35(x + 5) + -462 = 1463 Reorder the terms: 35(5 + x) + -462 = 1463 (5 * 35 + x * 35) + -462 = 1463 (175 + 35x) + -462 = 1463 Reorder the terms: 175 + -462 + 35x = 1463 Combine like terms: 175 + -462 = -287 -287 + 35x = 1463 Solving -287 + 35x = 1463 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '287' to each side of the equation. -287 + 287 + 35x = 1463 + 287 Combine like terms: -287 + 287 = 0 0 + 35x = 1463 + 287 35x = 1463 + 287 Combine like terms: 1463 + 287 = 1750 35x = 1750 Divide each side by '35'. x = 50 Simplifying x = 50
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