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Simplifying 5(1 + 7x) + x = 7x + 34 (1 * 5 + 7x * 5) + x = 7x + 34 (5 + 35x) + x = 7x + 34 Combine like terms: 35x + x = 36x 5 + 36x = 7x + 34 Reorder the terms: 5 + 36x = 34 + 7x Solving 5 + 36x = 34 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 36x + -7x = 34 + 7x + -7x Combine like terms: 36x + -7x = 29x 5 + 29x = 34 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + 29x = 34 + 0 5 + 29x = 34 Add '-5' to each side of the equation. 5 + -5 + 29x = 34 + -5 Combine like terms: 5 + -5 = 0 0 + 29x = 34 + -5 29x = 34 + -5 Combine like terms: 34 + -5 = 29 29x = 29 Divide each side by '29'. x = 1 Simplifying x = 1
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