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Simplifying 7 + 14x + -2 = 9x + 17 + -7x Reorder the terms: 7 + -2 + 14x = 9x + 17 + -7x Combine like terms: 7 + -2 = 5 5 + 14x = 9x + 17 + -7x Reorder the terms: 5 + 14x = 17 + 9x + -7x Combine like terms: 9x + -7x = 2x 5 + 14x = 17 + 2x Solving 5 + 14x = 17 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 14x + -2x = 17 + 2x + -2x Combine like terms: 14x + -2x = 12x 5 + 12x = 17 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 12x = 17 + 0 5 + 12x = 17 Add '-5' to each side of the equation. 5 + -5 + 12x = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 17 + -5 12x = 17 + -5 Combine like terms: 17 + -5 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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