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Simplifying (10x + -1(21x + 5)) = 5 + (10x + 0) Reorder the terms: (10x + -1(5 + 21x)) = 5 + (10x + 0) (10x + (5 * -1 + 21x * -1)) = 5 + (10x + 0) (10x + (-5 + -21x)) = 5 + (10x + 0) Reorder the terms: (-5 + 10x + -21x) = 5 + (10x + 0) Combine like terms: 10x + -21x = -11x (-5 + -11x) = 5 + (10x + 0) Remove parenthesis around (-5 + -11x) -5 + -11x = 5 + (10x + 0) Reorder the terms: -5 + -11x = 5 + (0 + 10x) Remove the zero: -5 + -11x = 5 + (10x) -5 + -11x = 5 + (10x) Solving -5 + -11x = 5 + (10x) Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '(-10x)' to each side of the equation. -5 + -11x + (-10x) = 5 + (10x) + (-10x) Combine like terms: -11x + (-10x) = -21x -5 + -21x = 5 + (10x) + (-10x) Combine like terms: (10x) + (-10x) = 0 -5 + -21x = 5 + 0 -5 + -21x = 5 Add '5' to each side of the equation. -5 + 5 + -21x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -21x = 5 + 5 -21x = 5 + 5 Combine like terms: 5 + 5 = 10 -21x = 10 Divide each side by '-21'. x = -0.4761904762 Simplifying x = -0.4761904762
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