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Simplifying (10x + 1) + -1(5x + -1) = 61 Reorder the terms: (1 + 10x) + -1(5x + -1) = 61 Remove parenthesis around (1 + 10x) 1 + 10x + -1(5x + -1) = 61 Reorder the terms: 1 + 10x + -1(-1 + 5x) = 61 1 + 10x + (-1 * -1 + 5x * -1) = 61 1 + 10x + (1 + -5x) = 61 Reorder the terms: 1 + 1 + 10x + -5x = 61 Combine like terms: 1 + 1 = 2 2 + 10x + -5x = 61 Combine like terms: 10x + -5x = 5x 2 + 5x = 61 Solving 2 + 5x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 61 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 61 + -2 5x = 61 + -2 Combine like terms: 61 + -2 = 59 5x = 59 Divide each side by '5'. x = 11.8 Simplifying x = 11.8
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