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Simplifying 21(x + -12) = -21(x + -26) Reorder the terms: 21(-12 + x) = -21(x + -26) (-12 * 21 + x * 21) = -21(x + -26) (-252 + 21x) = -21(x + -26) Reorder the terms: -252 + 21x = -21(-26 + x) -252 + 21x = (-26 * -21 + x * -21) -252 + 21x = (546 + -21x) Solving -252 + 21x = 546 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -252 + 21x + 21x = 546 + -21x + 21x Combine like terms: 21x + 21x = 42x -252 + 42x = 546 + -21x + 21x Combine like terms: -21x + 21x = 0 -252 + 42x = 546 + 0 -252 + 42x = 546 Add '252' to each side of the equation. -252 + 252 + 42x = 546 + 252 Combine like terms: -252 + 252 = 0 0 + 42x = 546 + 252 42x = 546 + 252 Combine like terms: 546 + 252 = 798 42x = 798 Divide each side by '42'. x = 19 Simplifying x = 19
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