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Simplifying 7(5 + 7x) = 35 + -5x (5 * 7 + 7x * 7) = 35 + -5x (35 + 49x) = 35 + -5x Add '-35' to each side of the equation. 35 + -35 + 49x = 35 + -35 + -5x Combine like terms: 35 + -35 = 0 0 + 49x = 35 + -35 + -5x 49x = 35 + -35 + -5x Combine like terms: 35 + -35 = 0 49x = 0 + -5x 49x = -5x Solving 49x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 49x + 5x = -5x + 5x Combine like terms: 49x + 5x = 54x 54x = -5x + 5x Combine like terms: -5x + 5x = 0 54x = 0 Divide each side by '54'. x = 0 Simplifying x = 0
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