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Simplifying 109 + -2x = 6x + 13 Reorder the terms: 109 + -2x = 13 + 6x Solving 109 + -2x = 13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 109 + -2x + -6x = 13 + 6x + -6x Combine like terms: -2x + -6x = -8x 109 + -8x = 13 + 6x + -6x Combine like terms: 6x + -6x = 0 109 + -8x = 13 + 0 109 + -8x = 13 Add '-109' to each side of the equation. 109 + -109 + -8x = 13 + -109 Combine like terms: 109 + -109 = 0 0 + -8x = 13 + -109 -8x = 13 + -109 Combine like terms: 13 + -109 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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