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Simplifying 5(1 + 7x) = x + 5 (1 * 5 + 7x * 5) = x + 5 (5 + 35x) = x + 5 Reorder the terms: 5 + 35x = 5 + x Add '-5' to each side of the equation. 5 + -5 + 35x = 5 + -5 + x Combine like terms: 5 + -5 = 0 0 + 35x = 5 + -5 + x 35x = 5 + -5 + x Combine like terms: 5 + -5 = 0 35x = 0 + x 35x = x Solving 35x = 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. 35x + -1x = x + -1x Combine like terms: 35x + -1x = 34x 34x = x + -1x Combine like terms: x + -1x = 0 34x = 0 Divide each side by '34'. x = 0 Simplifying x = 0
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