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Simplifying 2(5x + 1) + -1(3x + -7) = 11 Reorder the terms: 2(1 + 5x) + -1(3x + -7) = 11 (1 * 2 + 5x * 2) + -1(3x + -7) = 11 (2 + 10x) + -1(3x + -7) = 11 Reorder the terms: 2 + 10x + -1(-7 + 3x) = 11 2 + 10x + (-7 * -1 + 3x * -1) = 11 2 + 10x + (7 + -3x) = 11 Reorder the terms: 2 + 7 + 10x + -3x = 11 Combine like terms: 2 + 7 = 9 9 + 10x + -3x = 11 Combine like terms: 10x + -3x = 7x 9 + 7x = 11 Solving 9 + 7x = 11 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 + 7x = 11 + -9 Combine like terms: 9 + -9 = 0 0 + 7x = 11 + -9 7x = 11 + -9 Combine like terms: 11 + -9 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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