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Simplifying 6x + 2 + x = 1 + 4x + 7 Reorder the terms: 2 + 6x + x = 1 + 4x + 7 Combine like terms: 6x + x = 7x 2 + 7x = 1 + 4x + 7 Reorder the terms: 2 + 7x = 1 + 7 + 4x Combine like terms: 1 + 7 = 8 2 + 7x = 8 + 4x Solving 2 + 7x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2 + 7x + -4x = 8 + 4x + -4x Combine like terms: 7x + -4x = 3x 2 + 3x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 3x = 8 + 0 2 + 3x = 8 Add '-2' to each side of the equation. 2 + -2 + 3x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 8 + -2 3x = 8 + -2 Combine like terms: 8 + -2 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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