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Simplifying 5x + -78 = -2x + 34 Reorder the terms: -78 + 5x = -2x + 34 Reorder the terms: -78 + 5x = 34 + -2x Solving -78 + 5x = 34 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -78 + 5x + 2x = 34 + -2x + 2x Combine like terms: 5x + 2x = 7x -78 + 7x = 34 + -2x + 2x Combine like terms: -2x + 2x = 0 -78 + 7x = 34 + 0 -78 + 7x = 34 Add '78' to each side of the equation. -78 + 78 + 7x = 34 + 78 Combine like terms: -78 + 78 = 0 0 + 7x = 34 + 78 7x = 34 + 78 Combine like terms: 34 + 78 = 112 7x = 112 Divide each side by '7'. x = 16 Simplifying x = 16
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