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Simplifying 6x + 13 = 109 + -6x Reorder the terms: 13 + 6x = 109 + -6x Solving 13 + 6x = 109 + -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. 13 + 6x + 6x = 109 + -6x + 6x Combine like terms: 6x + 6x = 12x 13 + 12x = 109 + -6x + 6x Combine like terms: -6x + 6x = 0 13 + 12x = 109 + 0 13 + 12x = 109 Add '-13' to each side of the equation. 13 + -13 + 12x = 109 + -13 Combine like terms: 13 + -13 = 0 0 + 12x = 109 + -13 12x = 109 + -13 Combine like terms: 109 + -13 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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