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Simplifying 7(5x + 1) + -7x = 91 Reorder the terms: 7(1 + 5x) + -7x = 91 (1 * 7 + 5x * 7) + -7x = 91 (7 + 35x) + -7x = 91 Combine like terms: 35x + -7x = 28x 7 + 28x = 91 Solving 7 + 28x = 91 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 28x = 91 + -7 Combine like terms: 7 + -7 = 0 0 + 28x = 91 + -7 28x = 91 + -7 Combine like terms: 91 + -7 = 84 28x = 84 Divide each side by '28'. x = 3 Simplifying x = 3
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