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Simplifying 6x + -13 = 5x + 2 Reorder the terms: -13 + 6x = 5x + 2 Reorder the terms: -13 + 6x = 2 + 5x Solving -13 + 6x = 2 + 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 + 6x + -5x = 2 + 5x + -5x Combine like terms: 6x + -5x = 1x -13 + 1x = 2 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 1x = 2 + 0 -13 + 1x = 2 Add '13' to each side of the equation. -13 + 13 + 1x = 2 + 13 Combine like terms: -13 + 13 = 0 0 + 1x = 2 + 13 1x = 2 + 13 Combine like terms: 2 + 13 = 15 1x = 15 Divide each side by '1'. x = 15 Simplifying x = 15
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