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Simplifying 3(1 + 11x) = 5(-3 + -1x) + -12 (1 * 3 + 11x * 3) = 5(-3 + -1x) + -12 (3 + 33x) = 5(-3 + -1x) + -12 3 + 33x = (-3 * 5 + -1x * 5) + -12 3 + 33x = (-15 + -5x) + -12 Reorder the terms: 3 + 33x = -15 + -12 + -5x Combine like terms: -15 + -12 = -27 3 + 33x = -27 + -5x Solving 3 + 33x = -27 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 33x + 5x = -27 + -5x + 5x Combine like terms: 33x + 5x = 38x 3 + 38x = -27 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 38x = -27 + 0 3 + 38x = -27 Add '-3' to each side of the equation. 3 + -3 + 38x = -27 + -3 Combine like terms: 3 + -3 = 0 0 + 38x = -27 + -3 38x = -27 + -3 Combine like terms: -27 + -3 = -30 38x = -30 Divide each side by '38'. x = -0.7894736842 Simplifying x = -0.7894736842
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