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Simplifying 3x + 2 + 6x + -13 = 5x Reorder the terms: 2 + -13 + 3x + 6x = 5x Combine like terms: 2 + -13 = -11 -11 + 3x + 6x = 5x Combine like terms: 3x + 6x = 9x -11 + 9x = 5x Solving -11 + 9x = 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. -11 + 9x + -5x = 5x + -5x Combine like terms: 9x + -5x = 4x -11 + 4x = 5x + -5x Combine like terms: 5x + -5x = 0 -11 + 4x = 0 Add '11' to each side of the equation. -11 + 11 + 4x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 4x = 0 + 11 4x = 0 + 11 Combine like terms: 0 + 11 = 11 4x = 11 Divide each side by '4'. x = 2.75 Simplifying x = 2.75
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