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Simplifying 5x + -7(-1x + 5) = 109 Reorder the terms: 5x + -7(5 + -1x) = 109 5x + (5 * -7 + -1x * -7) = 109 5x + (-35 + 7x) = 109 Reorder the terms: -35 + 5x + 7x = 109 Combine like terms: 5x + 7x = 12x -35 + 12x = 109 Solving -35 + 12x = 109 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 12x = 109 + 35 Combine like terms: -35 + 35 = 0 0 + 12x = 109 + 35 12x = 109 + 35 Combine like terms: 109 + 35 = 144 12x = 144 Divide each side by '12'. x = 12 Simplifying x = 12
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