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Simplifying 78 + -5x = 7x + 23 Reorder the terms: 78 + -5x = 23 + 7x Solving 78 + -5x = 23 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 78 + -5x + -7x = 23 + 7x + -7x Combine like terms: -5x + -7x = -12x 78 + -12x = 23 + 7x + -7x Combine like terms: 7x + -7x = 0 78 + -12x = 23 + 0 78 + -12x = 23 Add '-78' to each side of the equation. 78 + -78 + -12x = 23 + -78 Combine like terms: 78 + -78 = 0 0 + -12x = 23 + -78 -12x = 23 + -78 Combine like terms: 23 + -78 = -55 -12x = -55 Divide each side by '-12'. x = 4.583333333 Simplifying x = 4.583333333
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