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Simplifying 78 + -2x = 4x + 6 Reorder the terms: 78 + -2x = 6 + 4x Solving 78 + -2x = 6 + 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. 78 + -2x + -4x = 6 + 4x + -4x Combine like terms: -2x + -4x = -6x 78 + -6x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + -6x = 6 + 0 78 + -6x = 6 Add '-78' to each side of the equation. 78 + -78 + -6x = 6 + -78 Combine like terms: 78 + -78 = 0 0 + -6x = 6 + -78 -6x = 6 + -78 Combine like terms: 6 + -78 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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