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Simplifying 5(7x + -35) = 10x + 50 Reorder the terms: 5(-35 + 7x) = 10x + 50 (-35 * 5 + 7x * 5) = 10x + 50 (-175 + 35x) = 10x + 50 Reorder the terms: -175 + 35x = 50 + 10x Solving -175 + 35x = 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. -175 + 35x + -10x = 50 + 10x + -10x Combine like terms: 35x + -10x = 25x -175 + 25x = 50 + 10x + -10x Combine like terms: 10x + -10x = 0 -175 + 25x = 50 + 0 -175 + 25x = 50 Add '175' to each side of the equation. -175 + 175 + 25x = 50 + 175 Combine like terms: -175 + 175 = 0 0 + 25x = 50 + 175 25x = 50 + 175 Combine like terms: 50 + 175 = 225 25x = 225 Divide each side by '25'. x = 9 Simplifying x = 9
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