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Simplifying 2x + 1 + x + 5 = x + 7 + x Reorder the terms: 1 + 5 + 2x + x = x + 7 + x Combine like terms: 1 + 5 = 6 6 + 2x + x = x + 7 + x Combine like terms: 2x + x = 3x 6 + 3x = x + 7 + x Reorder the terms: 6 + 3x = 7 + x + x Combine like terms: x + x = 2x 6 + 3x = 7 + 2x Solving 6 + 3x = 7 + 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. 6 + 3x + -2x = 7 + 2x + -2x Combine like terms: 3x + -2x = 1x 6 + 1x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 1x = 7 + 0 6 + 1x = 7 Add '-6' to each side of the equation. 6 + -6 + 1x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 7 + -6 1x = 7 + -6 Combine like terms: 7 + -6 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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