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Simplifying 2x + -4 + 7x = 12 + -3x + 4x Reorder the terms: -4 + 2x + 7x = 12 + -3x + 4x Combine like terms: 2x + 7x = 9x -4 + 9x = 12 + -3x + 4x Combine like terms: -3x + 4x = 1x -4 + 9x = 12 + 1x Solving -4 + 9x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -4 + 9x + -1x = 12 + 1x + -1x Combine like terms: 9x + -1x = 8x -4 + 8x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 -4 + 8x = 12 + 0 -4 + 8x = 12 Add '4' to each side of the equation. -4 + 4 + 8x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = 12 + 4 8x = 12 + 4 Combine like terms: 12 + 4 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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