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Simplifying 5x + 78 = 34 + -3x Reorder the terms: 78 + 5x = 34 + -3x Solving 78 + 5x = 34 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 78 + 5x + 3x = 34 + -3x + 3x Combine like terms: 5x + 3x = 8x 78 + 8x = 34 + -3x + 3x Combine like terms: -3x + 3x = 0 78 + 8x = 34 + 0 78 + 8x = 34 Add '-78' to each side of the equation. 78 + -78 + 8x = 34 + -78 Combine like terms: 78 + -78 = 0 0 + 8x = 34 + -78 8x = 34 + -78 Combine like terms: 34 + -78 = -44 8x = -44 Divide each side by '8'. x = -5.5 Simplifying x = -5.5
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