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Simplifying 12x + 3 = 17x + -7 Reorder the terms: 3 + 12x = 17x + -7 Reorder the terms: 3 + 12x = -7 + 17x Solving 3 + 12x = -7 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. 3 + 12x + -17x = -7 + 17x + -17x Combine like terms: 12x + -17x = -5x 3 + -5x = -7 + 17x + -17x Combine like terms: 17x + -17x = 0 3 + -5x = -7 + 0 3 + -5x = -7 Add '-3' to each side of the equation. 3 + -3 + -5x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = -7 + -3 -5x = -7 + -3 Combine like terms: -7 + -3 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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