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Simplifying 5x + 17 = 12x + 52 Reorder the terms: 17 + 5x = 12x + 52 Reorder the terms: 17 + 5x = 52 + 12x Solving 17 + 5x = 52 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 17 + 5x + -12x = 52 + 12x + -12x Combine like terms: 5x + -12x = -7x 17 + -7x = 52 + 12x + -12x Combine like terms: 12x + -12x = 0 17 + -7x = 52 + 0 17 + -7x = 52 Add '-17' to each side of the equation. 17 + -17 + -7x = 52 + -17 Combine like terms: 17 + -17 = 0 0 + -7x = 52 + -17 -7x = 52 + -17 Combine like terms: 52 + -17 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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