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Simplifying -78 + 4x = 32 + -6x Solving -78 + 4x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -78 + 4x + 6x = 32 + -6x + 6x Combine like terms: 4x + 6x = 10x -78 + 10x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 -78 + 10x = 32 + 0 -78 + 10x = 32 Add '78' to each side of the equation. -78 + 78 + 10x = 32 + 78 Combine like terms: -78 + 78 = 0 0 + 10x = 32 + 78 10x = 32 + 78 Combine like terms: 32 + 78 = 110 10x = 110 Divide each side by '10'. x = 11 Simplifying x = 11
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