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Simplifying 5(7x + 1) = 5 + 2x Reorder the terms: 5(1 + 7x) = 5 + 2x (1 * 5 + 7x * 5) = 5 + 2x (5 + 35x) = 5 + 2x Add '-5' to each side of the equation. 5 + -5 + 35x = 5 + -5 + 2x Combine like terms: 5 + -5 = 0 0 + 35x = 5 + -5 + 2x 35x = 5 + -5 + 2x Combine like terms: 5 + -5 = 0 35x = 0 + 2x 35x = 2x Solving 35x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35x + -2x = 2x + -2x Combine like terms: 35x + -2x = 33x 33x = 2x + -2x Combine like terms: 2x + -2x = 0 33x = 0 Divide each side by '33'. x = 0 Simplifying x = 0
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