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