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Simplifying 5(7x + 3) + 2x + -6 = 268 Reorder the terms: 5(3 + 7x) + 2x + -6 = 268 (3 * 5 + 7x * 5) + 2x + -6 = 268 (15 + 35x) + 2x + -6 = 268 Reorder the terms: 15 + -6 + 35x + 2x = 268 Combine like terms: 15 + -6 = 9 9 + 35x + 2x = 268 Combine like terms: 35x + 2x = 37x 9 + 37x = 268 Solving 9 + 37x = 268 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 37x = 268 + -9 Combine like terms: 9 + -9 = 0 0 + 37x = 268 + -9 37x = 268 + -9 Combine like terms: 268 + -9 = 259 37x = 259 Divide each side by '37'. x = 7 Simplifying x = 7
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