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