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Simplifying (10x + 10) + -1(5x + -1) = 61 Reorder the terms: (10 + 10x) + -1(5x + -1) = 61 Remove parenthesis around (10 + 10x) 10 + 10x + -1(5x + -1) = 61 Reorder the terms: 10 + 10x + -1(-1 + 5x) = 61 10 + 10x + (-1 * -1 + 5x * -1) = 61 10 + 10x + (1 + -5x) = 61 Reorder the terms: 10 + 1 + 10x + -5x = 61 Combine like terms: 10 + 1 = 11 11 + 10x + -5x = 61 Combine like terms: 10x + -5x = 5x 11 + 5x = 61 Solving 11 + 5x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 61 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 61 + -11 5x = 61 + -11 Combine like terms: 61 + -11 = 50 5x = 50 Divide each side by '5'. x = 10 Simplifying x = 10
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