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Simplifying 7(5x + 1) + 5 = 282 Reorder the terms: 7(1 + 5x) + 5 = 282 (1 * 7 + 5x * 7) + 5 = 282 (7 + 35x) + 5 = 282 Reorder the terms: 7 + 5 + 35x = 282 Combine like terms: 7 + 5 = 12 12 + 35x = 282 Solving 12 + 35x = 282 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 35x = 282 + -12 Combine like terms: 12 + -12 = 0 0 + 35x = 282 + -12 35x = 282 + -12 Combine like terms: 282 + -12 = 270 35x = 270 Divide each side by '35'. x = 7.714285714 Simplifying x = 7.714285714
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