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Simplifying 21 + -1(x + 1) = 5(x + 5) Reorder the terms: 21 + -1(1 + x) = 5(x + 5) 21 + (1 * -1 + x * -1) = 5(x + 5) 21 + (-1 + -1x) = 5(x + 5) Combine like terms: 21 + -1 = 20 20 + -1x = 5(x + 5) Reorder the terms: 20 + -1x = 5(5 + x) 20 + -1x = (5 * 5 + x * 5) 20 + -1x = (25 + 5x) Solving 20 + -1x = 25 + 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. 20 + -1x + -5x = 25 + 5x + -5x Combine like terms: -1x + -5x = -6x 20 + -6x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -6x = 25 + 0 20 + -6x = 25 Add '-20' to each side of the equation. 20 + -20 + -6x = 25 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 25 + -20 -6x = 25 + -20 Combine like terms: 25 + -20 = 5 -6x = 5 Divide each side by '-6'. x = -0.8333333333 Simplifying x = -0.8333333333
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