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Simplifying 6x + x + -5 = 6x + 7 Reorder the terms: -5 + 6x + x = 6x + 7 Combine like terms: 6x + x = 7x -5 + 7x = 6x + 7 Reorder the terms: -5 + 7x = 7 + 6x Solving -5 + 7x = 7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 7x + -6x = 7 + 6x + -6x Combine like terms: 7x + -6x = 1x -5 + 1x = 7 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 1x = 7 + 0 -5 + 1x = 7 Add '5' to each side of the equation. -5 + 5 + 1x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 7 + 5 1x = 7 + 5 Combine like terms: 7 + 5 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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