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Simplifying 12 + 3(11 + -7x) = 33 + -17x 12 + (11 * 3 + -7x * 3) = 33 + -17x 12 + (33 + -21x) = 33 + -17x Combine like terms: 12 + 33 = 45 45 + -21x = 33 + -17x Solving 45 + -21x = 33 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 45 + -21x + 17x = 33 + -17x + 17x Combine like terms: -21x + 17x = -4x 45 + -4x = 33 + -17x + 17x Combine like terms: -17x + 17x = 0 45 + -4x = 33 + 0 45 + -4x = 33 Add '-45' to each side of the equation. 45 + -45 + -4x = 33 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 33 + -45 -4x = 33 + -45 Combine like terms: 33 + -45 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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