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Simplifying 7(7x + 5) = 35 + x Reorder the terms: 7(5 + 7x) = 35 + x (5 * 7 + 7x * 7) = 35 + x (35 + 49x) = 35 + x Add '-35' to each side of the equation. 35 + -35 + 49x = 35 + -35 + x Combine like terms: 35 + -35 = 0 0 + 49x = 35 + -35 + x 49x = 35 + -35 + x Combine like terms: 35 + -35 = 0 49x = 0 + x 49x = x Solving 49x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 49x + -1x = x + -1x Combine like terms: 49x + -1x = 48x 48x = x + -1x Combine like terms: x + -1x = 0 48x = 0 Divide each side by '48'. x = 0 Simplifying x = 0
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