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Simplifying -78 + 2x = 102 + -4x Solving -78 + 2x = 102 + -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 = 102 + -4x + 4x Combine like terms: 2x + 4x = 6x -78 + 6x = 102 + -4x + 4x Combine like terms: -4x + 4x = 0 -78 + 6x = 102 + 0 -78 + 6x = 102 Add '78' to each side of the equation. -78 + 78 + 6x = 102 + 78 Combine like terms: -78 + 78 = 0 0 + 6x = 102 + 78 6x = 102 + 78 Combine like terms: 102 + 78 = 180 6x = 180 Divide each side by '6'. x = 30 Simplifying x = 30
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