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