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Simplifying 2x + -6 = 1x + -1 + 7 Reorder the terms: -6 + 2x = 1x + -1 + 7 Reorder the terms: -6 + 2x = -1 + 7 + 1x Combine like terms: -1 + 7 = 6 -6 + 2x = 6 + 1x Solving -6 + 2x = 6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -6 + 2x + -1x = 6 + 1x + -1x Combine like terms: 2x + -1x = 1x -6 + 1x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -6 + 1x = 6 + 0 -6 + 1x = 6 Add '6' to each side of the equation. -6 + 6 + 1x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 6 + 6 1x = 6 + 6 Combine like terms: 6 + 6 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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