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Simplifying 5x + -12 + 2x = 10x + 12 + -6x Reorder the terms: -12 + 5x + 2x = 10x + 12 + -6x Combine like terms: 5x + 2x = 7x -12 + 7x = 10x + 12 + -6x Reorder the terms: -12 + 7x = 12 + 10x + -6x Combine like terms: 10x + -6x = 4x -12 + 7x = 12 + 4x Solving -12 + 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. -12 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x -12 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + 3x = 12 + 0 -12 + 3x = 12 Add '12' to each side of the equation. -12 + 12 + 3x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 12 + 12 3x = 12 + 12 Combine like terms: 12 + 12 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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