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Simplifying (91 + -12x) + (54 + -5x) = (141 + -21x) Remove parenthesis around (91 + -12x) 91 + -12x + (54 + -5x) = (141 + -21x) Remove parenthesis around (54 + -5x) 91 + -12x + 54 + -5x = (141 + -21x) Reorder the terms: 91 + 54 + -12x + -5x = (141 + -21x) Combine like terms: 91 + 54 = 145 145 + -12x + -5x = (141 + -21x) Combine like terms: -12x + -5x = -17x 145 + -17x = (141 + -21x) Remove parenthesis around (141 + -21x) 145 + -17x = 141 + -21x Solving 145 + -17x = 141 + -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. 145 + -17x + 21x = 141 + -21x + 21x Combine like terms: -17x + 21x = 4x 145 + 4x = 141 + -21x + 21x Combine like terms: -21x + 21x = 0 145 + 4x = 141 + 0 145 + 4x = 141 Add '-145' to each side of the equation. 145 + -145 + 4x = 141 + -145 Combine like terms: 145 + -145 = 0 0 + 4x = 141 + -145 4x = 141 + -145 Combine like terms: 141 + -145 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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