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Simplifying 5x + 13 = 83 + -5x Reorder the terms: 13 + 5x = 83 + -5x Solving 13 + 5x = 83 + -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. 13 + 5x + 5x = 83 + -5x + 5x Combine like terms: 5x + 5x = 10x 13 + 10x = 83 + -5x + 5x Combine like terms: -5x + 5x = 0 13 + 10x = 83 + 0 13 + 10x = 83 Add '-13' to each side of the equation. 13 + -13 + 10x = 83 + -13 Combine like terms: 13 + -13 = 0 0 + 10x = 83 + -13 10x = 83 + -13 Combine like terms: 83 + -13 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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