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Simplifying 7x + -6 = 6x + 7x + 12 Reorder the terms: -6 + 7x = 6x + 7x + 12 Reorder the terms: -6 + 7x = 12 + 6x + 7x Combine like terms: 6x + 7x = 13x -6 + 7x = 12 + 13x Solving -6 + 7x = 12 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -6 + 7x + -13x = 12 + 13x + -13x Combine like terms: 7x + -13x = -6x -6 + -6x = 12 + 13x + -13x Combine like terms: 13x + -13x = 0 -6 + -6x = 12 + 0 -6 + -6x = 12 Add '6' to each side of the equation. -6 + 6 + -6x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = 12 + 6 -6x = 12 + 6 Combine like terms: 12 + 6 = 18 -6x = 18 Divide each side by '-6'. x = -3 Simplifying x = -3
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