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Simplifying 8x + -2 + -3x = 5 + 8x + 13 Reorder the terms: -2 + 8x + -3x = 5 + 8x + 13 Combine like terms: 8x + -3x = 5x -2 + 5x = 5 + 8x + 13 Reorder the terms: -2 + 5x = 5 + 13 + 8x Combine like terms: 5 + 13 = 18 -2 + 5x = 18 + 8x Solving -2 + 5x = 18 + 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 = 18 + 8x + -8x Combine like terms: 5x + -8x = -3x -2 + -3x = 18 + 8x + -8x Combine like terms: 8x + -8x = 0 -2 + -3x = 18 + 0 -2 + -3x = 18 Add '2' to each side of the equation. -2 + 2 + -3x = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 18 + 2 -3x = 18 + 2 Combine like terms: 18 + 2 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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