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Simplifying 7 + 12x + -4 = 6x + 67 + -2x Reorder the terms: 7 + -4 + 12x = 6x + 67 + -2x Combine like terms: 7 + -4 = 3 3 + 12x = 6x + 67 + -2x Reorder the terms: 3 + 12x = 67 + 6x + -2x Combine like terms: 6x + -2x = 4x 3 + 12x = 67 + 4x Solving 3 + 12x = 67 + 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. 3 + 12x + -4x = 67 + 4x + -4x Combine like terms: 12x + -4x = 8x 3 + 8x = 67 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + 8x = 67 + 0 3 + 8x = 67 Add '-3' to each side of the equation. 3 + -3 + 8x = 67 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = 67 + -3 8x = 67 + -3 Combine like terms: 67 + -3 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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