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Simplifying 7x + 33 = 12x + -17 Reorder the terms: 33 + 7x = 12x + -17 Reorder the terms: 33 + 7x = -17 + 12x Solving 33 + 7x = -17 + 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. 33 + 7x + -12x = -17 + 12x + -12x Combine like terms: 7x + -12x = -5x 33 + -5x = -17 + 12x + -12x Combine like terms: 12x + -12x = 0 33 + -5x = -17 + 0 33 + -5x = -17 Add '-33' to each side of the equation. 33 + -33 + -5x = -17 + -33 Combine like terms: 33 + -33 = 0 0 + -5x = -17 + -33 -5x = -17 + -33 Combine like terms: -17 + -33 = -50 -5x = -50 Divide each side by '-5'. x = 10 Simplifying x = 10
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