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Simplifying 7(5x + 1) + 6(4x + 1) = 13 Reorder the terms: 7(1 + 5x) + 6(4x + 1) = 13 (1 * 7 + 5x * 7) + 6(4x + 1) = 13 (7 + 35x) + 6(4x + 1) = 13 Reorder the terms: 7 + 35x + 6(1 + 4x) = 13 7 + 35x + (1 * 6 + 4x * 6) = 13 7 + 35x + (6 + 24x) = 13 Reorder the terms: 7 + 6 + 35x + 24x = 13 Combine like terms: 7 + 6 = 13 13 + 35x + 24x = 13 Combine like terms: 35x + 24x = 59x 13 + 59x = 13 Add '-13' to each side of the equation. 13 + -13 + 59x = 13 + -13 Combine like terms: 13 + -13 = 0 0 + 59x = 13 + -13 59x = 13 + -13 Combine like terms: 13 + -13 = 0 59x = 0 Solving 59x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '59'. x = 0 Simplifying x = 0
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