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Simplifying 6x + -2x + 4 = 12x + 12 Reorder the terms: 4 + 6x + -2x = 12x + 12 Combine like terms: 6x + -2x = 4x 4 + 4x = 12x + 12 Reorder the terms: 4 + 4x = 12 + 12x Solving 4 + 4x = 12 + 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 + 4x + -12x = 12 + 12x + -12x Combine like terms: 4x + -12x = -8x 4 + -8x = 12 + 12x + -12x Combine like terms: 12x + -12x = 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 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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