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Simplifying 7x + -6 = 3x + 12 + x Reorder the terms: -6 + 7x = 3x + 12 + x Reorder the terms: -6 + 7x = 12 + 3x + x Combine like terms: 3x + x = 4x -6 + 7x = 12 + 4x Solving -6 + 7x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x -6 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 3x = 12 + 0 -6 + 3x = 12 Add '6' to each side of the equation. -6 + 6 + 3x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 12 + 6 3x = 12 + 6 Combine like terms: 12 + 6 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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