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Simplifying 17x + 12 = 9x + 52 Reorder the terms: 12 + 17x = 9x + 52 Reorder the terms: 12 + 17x = 52 + 9x Solving 12 + 17x = 52 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 12 + 17x + -9x = 52 + 9x + -9x Combine like terms: 17x + -9x = 8x 12 + 8x = 52 + 9x + -9x Combine like terms: 9x + -9x = 0 12 + 8x = 52 + 0 12 + 8x = 52 Add '-12' to each side of the equation. 12 + -12 + 8x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 52 + -12 8x = 52 + -12 Combine like terms: 52 + -12 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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