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Simplifying 7x + 5x + -78 = 64 + -4x Reorder the terms: -78 + 7x + 5x = 64 + -4x Combine like terms: 7x + 5x = 12x -78 + 12x = 64 + -4x Solving -78 + 12x = 64 + -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 + 12x + 4x = 64 + -4x + 4x Combine like terms: 12x + 4x = 16x -78 + 16x = 64 + -4x + 4x Combine like terms: -4x + 4x = 0 -78 + 16x = 64 + 0 -78 + 16x = 64 Add '78' to each side of the equation. -78 + 78 + 16x = 64 + 78 Combine like terms: -78 + 78 = 0 0 + 16x = 64 + 78 16x = 64 + 78 Combine like terms: 64 + 78 = 142 16x = 142 Divide each side by '16'. x = 8.875 Simplifying x = 8.875
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