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Simplifying 6x + 5(x + 10) = 171 Reorder the terms: 6x + 5(10 + x) = 171 6x + (10 * 5 + x * 5) = 171 6x + (50 + 5x) = 171 Reorder the terms: 50 + 6x + 5x = 171 Combine like terms: 6x + 5x = 11x 50 + 11x = 171 Solving 50 + 11x = 171 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 11x = 171 + -50 Combine like terms: 50 + -50 = 0 0 + 11x = 171 + -50 11x = 171 + -50 Combine like terms: 171 + -50 = 121 11x = 121 Divide each side by '11'. x = 11 Simplifying x = 11
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