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Simplifying 2x + 3x + -12 = 4x + -5x Reorder the terms: -12 + 2x + 3x = 4x + -5x Combine like terms: 2x + 3x = 5x -12 + 5x = 4x + -5x Combine like terms: 4x + -5x = -1x -12 + 5x = -1x Solving -12 + 5x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 5x + x = -1x + x Combine like terms: 5x + x = 6x -12 + 6x = -1x + x Combine like terms: -1x + x = 0 -12 + 6x = 0 Add '12' to each side of the equation. -12 + 12 + 6x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 0 + 12 6x = 0 + 12 Combine like terms: 0 + 12 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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