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Simplifying 7x + -13 = 5x + 8 Reorder the terms: -13 + 7x = 5x + 8 Reorder the terms: -13 + 7x = 8 + 5x Solving -13 + 7x = 8 + 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 + 7x + -5x = 8 + 5x + -5x Combine like terms: 7x + -5x = 2x -13 + 2x = 8 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 2x = 8 + 0 -13 + 2x = 8 Add '13' to each side of the equation. -13 + 13 + 2x = 8 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 8 + 13 2x = 8 + 13 Combine like terms: 8 + 13 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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