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Simplifying -109 + 5x = -9x + 101 Reorder the terms: -109 + 5x = 101 + -9x Solving -109 + 5x = 101 + -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. -109 + 5x + 9x = 101 + -9x + 9x Combine like terms: 5x + 9x = 14x -109 + 14x = 101 + -9x + 9x Combine like terms: -9x + 9x = 0 -109 + 14x = 101 + 0 -109 + 14x = 101 Add '109' to each side of the equation. -109 + 109 + 14x = 101 + 109 Combine like terms: -109 + 109 = 0 0 + 14x = 101 + 109 14x = 101 + 109 Combine like terms: 101 + 109 = 210 14x = 210 Divide each side by '14'. x = 15 Simplifying x = 15
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