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Simplifying 5x + -13 = 3x + 5 Reorder the terms: -13 + 5x = 3x + 5 Reorder the terms: -13 + 5x = 5 + 3x Solving -13 + 5x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -13 + 5x + -3x = 5 + 3x + -3x Combine like terms: 5x + -3x = 2x -13 + 2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -13 + 2x = 5 + 0 -13 + 2x = 5 Add '13' to each side of the equation. -13 + 13 + 2x = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 5 + 13 2x = 5 + 13 Combine like terms: 5 + 13 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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