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