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Simplifying 6x + 2 + x = 1 + 3x + 5 Reorder the terms: 2 + 6x + x = 1 + 3x + 5 Combine like terms: 6x + x = 7x 2 + 7x = 1 + 3x + 5 Reorder the terms: 2 + 7x = 1 + 5 + 3x Combine like terms: 1 + 5 = 6 2 + 7x = 6 + 3x Solving 2 + 7x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2 + 7x + -3x = 6 + 3x + -3x Combine like terms: 7x + -3x = 4x 2 + 4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + 4x = 6 + 0 2 + 4x = 6 Add '-2' to each side of the equation. 2 + -2 + 4x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 6 + -2 4x = 6 + -2 Combine like terms: 6 + -2 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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