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Simplifying 5(7x + 32) = 102 Reorder the terms: 5(32 + 7x) = 102 (32 * 5 + 7x * 5) = 102 (160 + 35x) = 102 Solving 160 + 35x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + 35x = 102 + -160 Combine like terms: 160 + -160 = 0 0 + 35x = 102 + -160 35x = 102 + -160 Combine like terms: 102 + -160 = -58 35x = -58 Divide each side by '35'. x = -1.657142857 Simplifying x = -1.657142857
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