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Simplifying 5x + -21 = 8x + -41 Reorder the terms: -21 + 5x = 8x + -41 Reorder the terms: -21 + 5x = -41 + 8x Solving -21 + 5x = -41 + 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. -21 + 5x + -8x = -41 + 8x + -8x Combine like terms: 5x + -8x = -3x -21 + -3x = -41 + 8x + -8x Combine like terms: 8x + -8x = 0 -21 + -3x = -41 + 0 -21 + -3x = -41 Add '21' to each side of the equation. -21 + 21 + -3x = -41 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = -41 + 21 -3x = -41 + 21 Combine like terms: -41 + 21 = -20 -3x = -20 Divide each side by '-3'. x = 6.666666667 Simplifying x = 6.666666667
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