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Simplifying 6x + 13 = 85 + -2x Reorder the terms: 13 + 6x = 85 + -2x Solving 13 + 6x = 85 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 13 + 6x + 2x = 85 + -2x + 2x Combine like terms: 6x + 2x = 8x 13 + 8x = 85 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 8x = 85 + 0 13 + 8x = 85 Add '-13' to each side of the equation. 13 + -13 + 8x = 85 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 85 + -13 8x = 85 + -13 Combine like terms: 85 + -13 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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