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Simplifying 7x + -7 + 5x = 6x + -1 Reorder the terms: -7 + 7x + 5x = 6x + -1 Combine like terms: 7x + 5x = 12x -7 + 12x = 6x + -1 Reorder the terms: -7 + 12x = -1 + 6x Solving -7 + 12x = -1 + 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. -7 + 12x + -6x = -1 + 6x + -6x Combine like terms: 12x + -6x = 6x -7 + 6x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 -7 + 6x = -1 + 0 -7 + 6x = -1 Add '7' to each side of the equation. -7 + 7 + 6x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -1 + 7 6x = -1 + 7 Combine like terms: -1 + 7 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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