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Simplifying 6x + -12 = 3x + 4 + -5x Reorder the terms: -12 + 6x = 3x + 4 + -5x Reorder the terms: -12 + 6x = 4 + 3x + -5x Combine like terms: 3x + -5x = -2x -12 + 6x = 4 + -2x Solving -12 + 6x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 6x + 2x = 4 + -2x + 2x Combine like terms: 6x + 2x = 8x -12 + 8x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 8x = 4 + 0 -12 + 8x = 4 Add '12' to each side of the equation. -12 + 12 + 8x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 4 + 12 8x = 4 + 12 Combine like terms: 4 + 12 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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