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Simplifying 21 + -1(x + -5) = 5x + -8 Reorder the terms: 21 + -1(-5 + x) = 5x + -8 21 + (-5 * -1 + x * -1) = 5x + -8 21 + (5 + -1x) = 5x + -8 Combine like terms: 21 + 5 = 26 26 + -1x = 5x + -8 Reorder the terms: 26 + -1x = -8 + 5x Solving 26 + -1x = -8 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 26 + -1x + -5x = -8 + 5x + -5x Combine like terms: -1x + -5x = -6x 26 + -6x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 26 + -6x = -8 + 0 26 + -6x = -8 Add '-26' to each side of the equation. 26 + -26 + -6x = -8 + -26 Combine like terms: 26 + -26 = 0 0 + -6x = -8 + -26 -6x = -8 + -26 Combine like terms: -8 + -26 = -34 -6x = -34 Divide each side by '-6'. x = 5.666666667 Simplifying x = 5.666666667
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