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Simplifying 5x + -13 = 8x + 10 Reorder the terms: -13 + 5x = 8x + 10 Reorder the terms: -13 + 5x = 10 + 8x Solving -13 + 5x = 10 + 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. -13 + 5x + -8x = 10 + 8x + -8x Combine like terms: 5x + -8x = -3x -13 + -3x = 10 + 8x + -8x Combine like terms: 8x + -8x = 0 -13 + -3x = 10 + 0 -13 + -3x = 10 Add '13' to each side of the equation. -13 + 13 + -3x = 10 + 13 Combine like terms: -13 + 13 = 0 0 + -3x = 10 + 13 -3x = 10 + 13 Combine like terms: 10 + 13 = 23 -3x = 23 Divide each side by '-3'. x = -7.666666667 Simplifying x = -7.666666667
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