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Simplifying 5(X + -7) = 10(X + 5) Reorder the terms: 5(-7 + X) = 10(X + 5) (-7 * 5 + X * 5) = 10(X + 5) (-35 + 5X) = 10(X + 5) Reorder the terms: -35 + 5X = 10(5 + X) -35 + 5X = (5 * 10 + X * 10) -35 + 5X = (50 + 10X) Solving -35 + 5X = 50 + 10X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10X' to each side of the equation. -35 + 5X + -10X = 50 + 10X + -10X Combine like terms: 5X + -10X = -5X -35 + -5X = 50 + 10X + -10X Combine like terms: 10X + -10X = 0 -35 + -5X = 50 + 0 -35 + -5X = 50 Add '35' to each side of the equation. -35 + 35 + -5X = 50 + 35 Combine like terms: -35 + 35 = 0 0 + -5X = 50 + 35 -5X = 50 + 35 Combine like terms: 50 + 35 = 85 -5X = 85 Divide each side by '-5'. X = -17 Simplifying X = -17
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