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Simplifying 2x + -8 = 5x + 13 Reorder the terms: -8 + 2x = 5x + 13 Reorder the terms: -8 + 2x = 13 + 5x Solving -8 + 2x = 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. -8 + 2x + -5x = 13 + 5x + -5x Combine like terms: 2x + -5x = -3x -8 + -3x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -3x = 13 + 0 -8 + -3x = 13 Add '8' to each side of the equation. -8 + 8 + -3x = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 13 + 8 -3x = 13 + 8 Combine like terms: 13 + 8 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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