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Simplifying 5(7x + 6) = 26 + 7x Reorder the terms: 5(6 + 7x) = 26 + 7x (6 * 5 + 7x * 5) = 26 + 7x (30 + 35x) = 26 + 7x Solving 30 + 35x = 26 + 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. 30 + 35x + -7x = 26 + 7x + -7x Combine like terms: 35x + -7x = 28x 30 + 28x = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 30 + 28x = 26 + 0 30 + 28x = 26 Add '-30' to each side of the equation. 30 + -30 + 28x = 26 + -30 Combine like terms: 30 + -30 = 0 0 + 28x = 26 + -30 28x = 26 + -30 Combine like terms: 26 + -30 = -4 28x = -4 Divide each side by '28'. x = -0.1428571429 Simplifying x = -0.1428571429
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