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Simplifying 10x + -78 = 6x + -14 Reorder the terms: -78 + 10x = 6x + -14 Reorder the terms: -78 + 10x = -14 + 6x Solving -78 + 10x = -14 + 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 + 10x + -6x = -14 + 6x + -6x Combine like terms: 10x + -6x = 4x -78 + 4x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -78 + 4x = -14 + 0 -78 + 4x = -14 Add '78' to each side of the equation. -78 + 78 + 4x = -14 + 78 Combine like terms: -78 + 78 = 0 0 + 4x = -14 + 78 4x = -14 + 78 Combine like terms: -14 + 78 = 64 4x = 64 Divide each side by '4'. x = 16 Simplifying x = 16
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