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Simplifying 12 + -2x = 4x + 78 Reorder the terms: 12 + -2x = 78 + 4x Solving 12 + -2x = 78 + 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. 12 + -2x + -4x = 78 + 4x + -4x Combine like terms: -2x + -4x = -6x 12 + -6x = 78 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -6x = 78 + 0 12 + -6x = 78 Add '-12' to each side of the equation. 12 + -12 + -6x = 78 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 78 + -12 -6x = 78 + -12 Combine like terms: 78 + -12 = 66 -6x = 66 Divide each side by '-6'. x = -11 Simplifying x = -11
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