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Simplifying 2x + 78 = 4x + 24 Reorder the terms: 78 + 2x = 4x + 24 Reorder the terms: 78 + 2x = 24 + 4x Solving 78 + 2x = 24 + 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 + 2x + -4x = 24 + 4x + -4x Combine like terms: 2x + -4x = -2x 78 + -2x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 78 + -2x = 24 + 0 78 + -2x = 24 Add '-78' to each side of the equation. 78 + -78 + -2x = 24 + -78 Combine like terms: 78 + -78 = 0 0 + -2x = 24 + -78 -2x = 24 + -78 Combine like terms: 24 + -78 = -54 -2x = -54 Divide each side by '-2'. x = 27 Simplifying x = 27
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