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Simplifying 6x + x = x + 1 + 4x + 15 Combine like terms: 6x + x = 7x 7x = x + 1 + 4x + 15 Reorder the terms: 7x = 1 + 15 + x + 4x Combine like terms: 1 + 15 = 16 7x = 16 + x + 4x Combine like terms: x + 4x = 5x 7x = 16 + 5x Solving 7x = 16 + 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. 7x + -5x = 16 + 5x + -5x Combine like terms: 7x + -5x = 2x 2x = 16 + 5x + -5x Combine like terms: 5x + -5x = 0 2x = 16 + 0 2x = 16 Divide each side by '2'. x = 8 Simplifying x = 8
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