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Simplifying -109 + 4x = -5x + 44 Reorder the terms: -109 + 4x = 44 + -5x Solving -109 + 4x = 44 + -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. -109 + 4x + 5x = 44 + -5x + 5x Combine like terms: 4x + 5x = 9x -109 + 9x = 44 + -5x + 5x Combine like terms: -5x + 5x = 0 -109 + 9x = 44 + 0 -109 + 9x = 44 Add '109' to each side of the equation. -109 + 109 + 9x = 44 + 109 Combine like terms: -109 + 109 = 0 0 + 9x = 44 + 109 9x = 44 + 109 Combine like terms: 44 + 109 = 153 9x = 153 Divide each side by '9'. x = 17 Simplifying x = 17
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