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Simplifying 6(1 + x) + 7(2 + 5x) = 53 (1 * 6 + x * 6) + 7(2 + 5x) = 53 (6 + 6x) + 7(2 + 5x) = 53 6 + 6x + (2 * 7 + 5x * 7) = 53 6 + 6x + (14 + 35x) = 53 Reorder the terms: 6 + 14 + 6x + 35x = 53 Combine like terms: 6 + 14 = 20 20 + 6x + 35x = 53 Combine like terms: 6x + 35x = 41x 20 + 41x = 53 Solving 20 + 41x = 53 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 41x = 53 + -20 Combine like terms: 20 + -20 = 0 0 + 41x = 53 + -20 41x = 53 + -20 Combine like terms: 53 + -20 = 33 41x = 33 Divide each side by '41'. x = 0.8048780488 Simplifying x = 0.8048780488
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