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Simplifying 12x + 17 = 4x + 52 Reorder the terms: 17 + 12x = 4x + 52 Reorder the terms: 17 + 12x = 52 + 4x Solving 17 + 12x = 52 + 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. 17 + 12x + -4x = 52 + 4x + -4x Combine like terms: 12x + -4x = 8x 17 + 8x = 52 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 8x = 52 + 0 17 + 8x = 52 Add '-17' to each side of the equation. 17 + -17 + 8x = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 8x = 52 + -17 8x = 52 + -17 Combine like terms: 52 + -17 = 35 8x = 35 Divide each side by '8'. x = 4.375 Simplifying x = 4.375
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