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Simplifying 4x + 49 = 9x + -6 Reorder the terms: 49 + 4x = 9x + -6 Reorder the terms: 49 + 4x = -6 + 9x Solving 49 + 4x = -6 + 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. 49 + 4x + -9x = -6 + 9x + -9x Combine like terms: 4x + -9x = -5x 49 + -5x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 49 + -5x = -6 + 0 49 + -5x = -6 Add '-49' to each side of the equation. 49 + -49 + -5x = -6 + -49 Combine like terms: 49 + -49 = 0 0 + -5x = -6 + -49 -5x = -6 + -49 Combine like terms: -6 + -49 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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