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Simplifying 6x + -4 + 2x = 5 + 12x + -1 Reorder the terms: -4 + 6x + 2x = 5 + 12x + -1 Combine like terms: 6x + 2x = 8x -4 + 8x = 5 + 12x + -1 Reorder the terms: -4 + 8x = 5 + -1 + 12x Combine like terms: 5 + -1 = 4 -4 + 8x = 4 + 12x Solving -4 + 8x = 4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -4 + 8x + -12x = 4 + 12x + -12x Combine like terms: 8x + -12x = -4x -4 + -4x = 4 + 12x + -12x Combine like terms: 12x + -12x = 0 -4 + -4x = 4 + 0 -4 + -4x = 4 Add '4' to each side of the equation. -4 + 4 + -4x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = 4 + 4 -4x = 4 + 4 Combine like terms: 4 + 4 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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