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Simplifying 3x + 78 = 4x + 23 Reorder the terms: 78 + 3x = 4x + 23 Reorder the terms: 78 + 3x = 23 + 4x Solving 78 + 3x = 23 + 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 + 3x + -4x = 23 + 4x + -4x Combine like terms: 3x + -4x = -1x 78 + -1x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + -1x = 23 + 0 78 + -1x = 23 Add '-78' to each side of the equation. 78 + -78 + -1x = 23 + -78 Combine like terms: 78 + -78 = 0 0 + -1x = 23 + -78 -1x = 23 + -78 Combine like terms: 23 + -78 = -55 -1x = -55 Divide each side by '-1'. x = 55 Simplifying x = 55
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