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Simplifying 2x + x + 6 = 5x + -7 + 9x Reorder the terms: 6 + 2x + x = 5x + -7 + 9x Combine like terms: 2x + x = 3x 6 + 3x = 5x + -7 + 9x Reorder the terms: 6 + 3x = -7 + 5x + 9x Combine like terms: 5x + 9x = 14x 6 + 3x = -7 + 14x Solving 6 + 3x = -7 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6 + 3x + -14x = -7 + 14x + -14x Combine like terms: 3x + -14x = -11x 6 + -11x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -11x = -7 + 0 6 + -11x = -7 Add '-6' to each side of the equation. 6 + -6 + -11x = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -7 + -6 -11x = -7 + -6 Combine like terms: -7 + -6 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182
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