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Simplifying 12x + -3x + 11 = 4x + 17 + -9x Reorder the terms: 11 + 12x + -3x = 4x + 17 + -9x Combine like terms: 12x + -3x = 9x 11 + 9x = 4x + 17 + -9x Reorder the terms: 11 + 9x = 17 + 4x + -9x Combine like terms: 4x + -9x = -5x 11 + 9x = 17 + -5x Solving 11 + 9x = 17 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 11 + 9x + 5x = 17 + -5x + 5x Combine like terms: 9x + 5x = 14x 11 + 14x = 17 + -5x + 5x Combine like terms: -5x + 5x = 0 11 + 14x = 17 + 0 11 + 14x = 17 Add '-11' to each side of the equation. 11 + -11 + 14x = 17 + -11 Combine like terms: 11 + -11 = 0 0 + 14x = 17 + -11 14x = 17 + -11 Combine like terms: 17 + -11 = 6 14x = 6 Divide each side by '14'. x = 0.4285714286 Simplifying x = 0.4285714286
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