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Simplifying 12(x + 3) = 1 + 11(-5 + -3x) Reorder the terms: 12(3 + x) = 1 + 11(-5 + -3x) (3 * 12 + x * 12) = 1 + 11(-5 + -3x) (36 + 12x) = 1 + 11(-5 + -3x) 36 + 12x = 1 + (-5 * 11 + -3x * 11) 36 + 12x = 1 + (-55 + -33x) Combine like terms: 1 + -55 = -54 36 + 12x = -54 + -33x Solving 36 + 12x = -54 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 36 + 12x + 33x = -54 + -33x + 33x Combine like terms: 12x + 33x = 45x 36 + 45x = -54 + -33x + 33x Combine like terms: -33x + 33x = 0 36 + 45x = -54 + 0 36 + 45x = -54 Add '-36' to each side of the equation. 36 + -36 + 45x = -54 + -36 Combine like terms: 36 + -36 = 0 0 + 45x = -54 + -36 45x = -54 + -36 Combine like terms: -54 + -36 = -90 45x = -90 Divide each side by '45'. x = -2 Simplifying x = -2
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