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Simplifying 5(x + 5) + 2 = 6x + 5(x + 2) Reorder the terms: 5(5 + x) + 2 = 6x + 5(x + 2) (5 * 5 + x * 5) + 2 = 6x + 5(x + 2) (25 + 5x) + 2 = 6x + 5(x + 2) Reorder the terms: 25 + 2 + 5x = 6x + 5(x + 2) Combine like terms: 25 + 2 = 27 27 + 5x = 6x + 5(x + 2) Reorder the terms: 27 + 5x = 6x + 5(2 + x) 27 + 5x = 6x + (2 * 5 + x * 5) 27 + 5x = 6x + (10 + 5x) Reorder the terms: 27 + 5x = 10 + 6x + 5x Combine like terms: 6x + 5x = 11x 27 + 5x = 10 + 11x Solving 27 + 5x = 10 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 27 + 5x + -11x = 10 + 11x + -11x Combine like terms: 5x + -11x = -6x 27 + -6x = 10 + 11x + -11x Combine like terms: 11x + -11x = 0 27 + -6x = 10 + 0 27 + -6x = 10 Add '-27' to each side of the equation. 27 + -27 + -6x = 10 + -27 Combine like terms: 27 + -27 = 0 0 + -6x = 10 + -27 -6x = 10 + -27 Combine like terms: 10 + -27 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333
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