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Simplifying 6x + 3 + x = 1 + 2x + 7 Reorder the terms: 3 + 6x + x = 1 + 2x + 7 Combine like terms: 6x + x = 7x 3 + 7x = 1 + 2x + 7 Reorder the terms: 3 + 7x = 1 + 7 + 2x Combine like terms: 1 + 7 = 8 3 + 7x = 8 + 2x Solving 3 + 7x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 7x + -2x = 8 + 2x + -2x Combine like terms: 7x + -2x = 5x 3 + 5x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 5x = 8 + 0 3 + 5x = 8 Add '-3' to each side of the equation. 3 + -3 + 5x = 8 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 8 + -3 5x = 8 + -3 Combine like terms: 8 + -3 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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