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Simplifying 5x + -2 = 8x + 13 Reorder the terms: -2 + 5x = 8x + 13 Reorder the terms: -2 + 5x = 13 + 8x Solving -2 + 5x = 13 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -2 + 5x + -8x = 13 + 8x + -8x Combine like terms: 5x + -8x = -3x -2 + -3x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -3x = 13 + 0 -2 + -3x = 13 Add '2' to each side of the equation. -2 + 2 + -3x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 13 + 2 -3x = 13 + 2 Combine like terms: 13 + 2 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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