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Simplifying 6x + 13 = 82 + -4x Reorder the terms: 13 + 6x = 82 + -4x Solving 13 + 6x = 82 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 13 + 6x + 4x = 82 + -4x + 4x Combine like terms: 6x + 4x = 10x 13 + 10x = 82 + -4x + 4x Combine like terms: -4x + 4x = 0 13 + 10x = 82 + 0 13 + 10x = 82 Add '-13' to each side of the equation. 13 + -13 + 10x = 82 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = 82 + -13 10x = 82 + -13 Combine like terms: 82 + -13 = 69 10x = 69 Divide each side by '10'. x = 6.9 Simplifying x = 6.9
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