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Simplifying (5x + 10) + 58 = (11x + 2) Reorder the terms: (10 + 5x) + 58 = (11x + 2) Remove parenthesis around (10 + 5x) 10 + 5x + 58 = (11x + 2) Reorder the terms: 10 + 58 + 5x = (11x + 2) Combine like terms: 10 + 58 = 68 68 + 5x = (11x + 2) Reorder the terms: 68 + 5x = (2 + 11x) Remove parenthesis around (2 + 11x) 68 + 5x = 2 + 11x Solving 68 + 5x = 2 + 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. 68 + 5x + -11x = 2 + 11x + -11x Combine like terms: 5x + -11x = -6x 68 + -6x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 68 + -6x = 2 + 0 68 + -6x = 2 Add '-68' to each side of the equation. 68 + -68 + -6x = 2 + -68 Combine like terms: 68 + -68 = 0 0 + -6x = 2 + -68 -6x = 2 + -68 Combine like terms: 2 + -68 = -66 -6x = -66 Divide each side by '-6'. x = 11 Simplifying x = 11
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