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Simplifying (-24 + (-21)) = 2x + (8x + 106 + 2x) (-24 + -21) = 2x + (8x + 106 + 2x) Combine like terms: -24 + -21 = -45 (-45) = 2x + (8x + 106 + 2x) -45 = 2x + (8x + 106 + 2x) Reorder the terms: -45 = 2x + (106 + 8x + 2x) Combine like terms: 8x + 2x = 10x -45 = 2x + (106 + 10x) Remove parenthesis around (106 + 10x) -45 = 2x + 106 + 10x Reorder the terms: -45 = 106 + 2x + 10x Combine like terms: 2x + 10x = 12x -45 = 106 + 12x Solving -45 = 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. -45 + -12x = 106 + 12x + -12x Combine like terms: 12x + -12x = 0 -45 + -12x = 106 + 0 -45 + -12x = 106 Add '45' to each side of the equation. -45 + 45 + -12x = 106 + 45 Combine like terms: -45 + 45 = 0 0 + -12x = 106 + 45 -12x = 106 + 45 Combine like terms: 106 + 45 = 151 -12x = 151 Divide each side by '-12'. x = -12.58333333 Simplifying x = -12.58333333
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