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Simplifying 5x + 5 + 6x + 12 = 9x + 61 Reorder the terms: 5 + 12 + 5x + 6x = 9x + 61 Combine like terms: 5 + 12 = 17 17 + 5x + 6x = 9x + 61 Combine like terms: 5x + 6x = 11x 17 + 11x = 9x + 61 Reorder the terms: 17 + 11x = 61 + 9x Solving 17 + 11x = 61 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 17 + 11x + -9x = 61 + 9x + -9x Combine like terms: 11x + -9x = 2x 17 + 2x = 61 + 9x + -9x Combine like terms: 9x + -9x = 0 17 + 2x = 61 + 0 17 + 2x = 61 Add '-17' to each side of the equation. 17 + -17 + 2x = 61 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 61 + -17 2x = 61 + -17 Combine like terms: 61 + -17 = 44 2x = 44 Divide each side by '2'. x = 22 Simplifying x = 22
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