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Simplifying 7(5x + -5) = 37 + -1x Reorder the terms: 7(-5 + 5x) = 37 + -1x (-5 * 7 + 5x * 7) = 37 + -1x (-35 + 35x) = 37 + -1x Solving -35 + 35x = 37 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -35 + 35x + x = 37 + -1x + x Combine like terms: 35x + x = 36x -35 + 36x = 37 + -1x + x Combine like terms: -1x + x = 0 -35 + 36x = 37 + 0 -35 + 36x = 37 Add '35' to each side of the equation. -35 + 35 + 36x = 37 + 35 Combine like terms: -35 + 35 = 0 0 + 36x = 37 + 35 36x = 37 + 35 Combine like terms: 37 + 35 = 72 36x = 72 Divide each side by '36'. x = 2 Simplifying x = 2
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