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Simplifying 2x + -6 + -5x = 5 + 5x + 13 Reorder the terms: -6 + 2x + -5x = 5 + 5x + 13 Combine like terms: 2x + -5x = -3x -6 + -3x = 5 + 5x + 13 Reorder the terms: -6 + -3x = 5 + 13 + 5x Combine like terms: 5 + 13 = 18 -6 + -3x = 18 + 5x Solving -6 + -3x = 18 + 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. -6 + -3x + -5x = 18 + 5x + -5x Combine like terms: -3x + -5x = -8x -6 + -8x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -8x = 18 + 0 -6 + -8x = 18 Add '6' to each side of the equation. -6 + 6 + -8x = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 18 + 6 -8x = 18 + 6 Combine like terms: 18 + 6 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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