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Simplifying 10x + -109 = -5x + 161 Reorder the terms: -109 + 10x = -5x + 161 Reorder the terms: -109 + 10x = 161 + -5x Solving -109 + 10x = 161 + -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 + 10x + 5x = 161 + -5x + 5x Combine like terms: 10x + 5x = 15x -109 + 15x = 161 + -5x + 5x Combine like terms: -5x + 5x = 0 -109 + 15x = 161 + 0 -109 + 15x = 161 Add '109' to each side of the equation. -109 + 109 + 15x = 161 + 109 Combine like terms: -109 + 109 = 0 0 + 15x = 161 + 109 15x = 161 + 109 Combine like terms: 161 + 109 = 270 15x = 270 Divide each side by '15'. x = 18 Simplifying x = 18
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