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Simplifying 6x + -5 = 3x + 13 Reorder the terms: -5 + 6x = 3x + 13 Reorder the terms: -5 + 6x = 13 + 3x Solving -5 + 6x = 13 + 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. -5 + 6x + -3x = 13 + 3x + -3x Combine like terms: 6x + -3x = 3x -5 + 3x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 3x = 13 + 0 -5 + 3x = 13 Add '5' to each side of the equation. -5 + 5 + 3x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = 13 + 5 3x = 13 + 5 Combine like terms: 13 + 5 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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