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Simplifying 6x + 6 + x = 1 + 5x + 9 Reorder the terms: 6 + 6x + x = 1 + 5x + 9 Combine like terms: 6x + x = 7x 6 + 7x = 1 + 5x + 9 Reorder the terms: 6 + 7x = 1 + 9 + 5x Combine like terms: 1 + 9 = 10 6 + 7x = 10 + 5x Solving 6 + 7x = 10 + 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. 6 + 7x + -5x = 10 + 5x + -5x Combine like terms: 7x + -5x = 2x 6 + 2x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 2x = 10 + 0 6 + 2x = 10 Add '-6' to each side of the equation. 6 + -6 + 2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = 10 + -6 2x = 10 + -6 Combine like terms: 10 + -6 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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