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Simplifying 7x + 5 = 13 + -5x Reorder the terms: 5 + 7x = 13 + -5x Solving 5 + 7x = 13 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 5 + 7x + 5x = 13 + -5x + 5x Combine like terms: 7x + 5x = 12x 5 + 12x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 5 + 12x = 13 + 0 5 + 12x = 13 Add '-5' to each side of the equation. 5 + -5 + 12x = 13 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 13 + -5 12x = 13 + -5 Combine like terms: 13 + -5 = 8 12x = 8 Divide each side by '12'. x = 0.6666666667 Simplifying x = 0.6666666667
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