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Simplifying 2x + -6 = 49 + -9x Reorder the terms: -6 + 2x = 49 + -9x Solving -6 + 2x = 49 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -6 + 2x + 9x = 49 + -9x + 9x Combine like terms: 2x + 9x = 11x -6 + 11x = 49 + -9x + 9x Combine like terms: -9x + 9x = 0 -6 + 11x = 49 + 0 -6 + 11x = 49 Add '6' to each side of the equation. -6 + 6 + 11x = 49 + 6 Combine like terms: -6 + 6 = 0 0 + 11x = 49 + 6 11x = 49 + 6 Combine like terms: 49 + 6 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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