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Simplifying 11x + 17 = 12x + 7 Reorder the terms: 17 + 11x = 12x + 7 Reorder the terms: 17 + 11x = 7 + 12x Solving 17 + 11x = 7 + 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 + 11x + -12x = 7 + 12x + -12x Combine like terms: 11x + -12x = -1x 17 + -1x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 17 + -1x = 7 + 0 17 + -1x = 7 Add '-17' to each side of the equation. 17 + -17 + -1x = 7 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 7 + -17 -1x = 7 + -17 Combine like terms: 7 + -17 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10
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