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Simplifying 7 + 3x + -12 = 2x + -6x + 9 Reorder the terms: 7 + -12 + 3x = 2x + -6x + 9 Combine like terms: 7 + -12 = -5 -5 + 3x = 2x + -6x + 9 Reorder the terms: -5 + 3x = 9 + 2x + -6x Combine like terms: 2x + -6x = -4x -5 + 3x = 9 + -4x Solving -5 + 3x = 9 + -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. -5 + 3x + 4x = 9 + -4x + 4x Combine like terms: 3x + 4x = 7x -5 + 7x = 9 + -4x + 4x Combine like terms: -4x + 4x = 0 -5 + 7x = 9 + 0 -5 + 7x = 9 Add '5' to each side of the equation. -5 + 5 + 7x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 7x = 9 + 5 7x = 9 + 5 Combine like terms: 9 + 5 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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