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Simplifying 7x + -6 = 6x + 7 + 12 Reorder the terms: -6 + 7x = 6x + 7 + 12 Reorder the terms: -6 + 7x = 7 + 12 + 6x Combine like terms: 7 + 12 = 19 -6 + 7x = 19 + 6x Solving -6 + 7x = 19 + 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. -6 + 7x + -6x = 19 + 6x + -6x Combine like terms: 7x + -6x = 1x -6 + 1x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + 1x = 19 + 0 -6 + 1x = 19 Add '6' to each side of the equation. -6 + 6 + 1x = 19 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 19 + 6 1x = 19 + 6 Combine like terms: 19 + 6 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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