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Simplifying -78 + 6x = 122 + -4x Solving -78 + 6x = 122 + -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 + 6x + 4x = 122 + -4x + 4x Combine like terms: 6x + 4x = 10x -78 + 10x = 122 + -4x + 4x Combine like terms: -4x + 4x = 0 -78 + 10x = 122 + 0 -78 + 10x = 122 Add '78' to each side of the equation. -78 + 78 + 10x = 122 + 78 Combine like terms: -78 + 78 = 0 0 + 10x = 122 + 78 10x = 122 + 78 Combine like terms: 122 + 78 = 200 10x = 200 Divide each side by '10'. x = 20 Simplifying x = 20
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