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Simplifying x + x + 38 + 2x + -40 = 678 Reorder the terms: 38 + -40 + x + x + 2x = 678 Combine like terms: 38 + -40 = -2 -2 + x + x + 2x = 678 Combine like terms: x + x = 2x -2 + 2x + 2x = 678 Combine like terms: 2x + 2x = 4x -2 + 4x = 678 Solving -2 + 4x = 678 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4x = 678 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 678 + 2 4x = 678 + 2 Combine like terms: 678 + 2 = 680 4x = 680 Divide each side by '4'. x = 170 Simplifying x = 170
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