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Simplifying (-24 + (-21x)) = 2x + (8x + 106 + 2x) Remove parenthesis around (-24 + (-21x)) -24 + (-21x) = 2x + (8x + 106 + 2x) Reorder the terms: -24 + (-21x) = 2x + (106 + 8x + 2x) Combine like terms: 8x + 2x = 10x -24 + (-21x) = 2x + (106 + 10x) Remove parenthesis around (106 + 10x) -24 + (-21x) = 2x + 106 + 10x Reorder the terms: -24 + (-21x) = 106 + 2x + 10x Combine like terms: 2x + 10x = 12x -24 + (-21x) = 106 + 12x Solving -24 + (-21x) = 106 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -24 + (-21x) + -12x = 106 + 12x + -12x Combine like terms: (-21x) + -12x = -33x -24 + -33x = 106 + 12x + -12x Combine like terms: 12x + -12x = 0 -24 + -33x = 106 + 0 -24 + -33x = 106 Add '24' to each side of the equation. -24 + 24 + -33x = 106 + 24 Combine like terms: -24 + 24 = 0 0 + -33x = 106 + 24 -33x = 106 + 24 Combine like terms: 106 + 24 = 130 -33x = 130 Divide each side by '-33'. x = -3.939393939 Simplifying x = -3.939393939
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