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Simplifying 3x + -8 = 109 + -10x Reorder the terms: -8 + 3x = 109 + -10x Solving -8 + 3x = 109 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -8 + 3x + 10x = 109 + -10x + 10x Combine like terms: 3x + 10x = 13x -8 + 13x = 109 + -10x + 10x Combine like terms: -10x + 10x = 0 -8 + 13x = 109 + 0 -8 + 13x = 109 Add '8' to each side of the equation. -8 + 8 + 13x = 109 + 8 Combine like terms: -8 + 8 = 0 0 + 13x = 109 + 8 13x = 109 + 8 Combine like terms: 109 + 8 = 117 13x = 117 Divide each side by '13'. x = 9 Simplifying x = 9
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