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Simplifying 5x + 8 + -9 = 2x + 6x + 13 Reorder the terms: 8 + -9 + 5x = 2x + 6x + 13 Combine like terms: 8 + -9 = -1 -1 + 5x = 2x + 6x + 13 Reorder the terms: -1 + 5x = 13 + 2x + 6x Combine like terms: 2x + 6x = 8x -1 + 5x = 13 + 8x Solving -1 + 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. -1 + 5x + -8x = 13 + 8x + -8x Combine like terms: 5x + -8x = -3x -1 + -3x = 13 + 8x + -8x Combine like terms: 8x + -8x = 0 -1 + -3x = 13 + 0 -1 + -3x = 13 Add '1' to each side of the equation. -1 + 1 + -3x = 13 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 13 + 1 -3x = 13 + 1 Combine like terms: 13 + 1 = 14 -3x = 14 Divide each side by '-3'. x = -4.666666667 Simplifying x = -4.666666667
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