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Simplifying 2x + 5x + -12 = 6x + -9x + 12 Reorder the terms: -12 + 2x + 5x = 6x + -9x + 12 Combine like terms: 2x + 5x = 7x -12 + 7x = 6x + -9x + 12 Reorder the terms: -12 + 7x = 12 + 6x + -9x Combine like terms: 6x + -9x = -3x -12 + 7x = 12 + -3x Solving -12 + 7x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -12 + 7x + 3x = 12 + -3x + 3x Combine like terms: 7x + 3x = 10x -12 + 10x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -12 + 10x = 12 + 0 -12 + 10x = 12 Add '12' to each side of the equation. -12 + 12 + 10x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 10x = 12 + 12 10x = 12 + 12 Combine like terms: 12 + 12 = 24 10x = 24 Divide each side by '10'. x = 2.4 Simplifying x = 2.4
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