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Simplifying 3 + 2[4x + -3(5 + -1x)] = 3(x + -20) 3 + 2[4x + (5 * -3 + -1x * -3)] = 3(x + -20) 3 + 2[4x + (-15 + 3x)] = 3(x + -20) Reorder the terms: 3 + 2[-15 + 4x + 3x] = 3(x + -20) Combine like terms: 4x + 3x = 7x 3 + 2[-15 + 7x] = 3(x + -20) 3 + [-15 * 2 + 7x * 2] = 3(x + -20) 3 + [-30 + 14x] = 3(x + -20) Combine like terms: 3 + -30 = -27 -27 + 14x = 3(x + -20) Reorder the terms: -27 + 14x = 3(-20 + x) -27 + 14x = (-20 * 3 + x * 3) -27 + 14x = (-60 + 3x) Solving -27 + 14x = -60 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 14x + -3x = -60 + 3x + -3x Combine like terms: 14x + -3x = 11x -27 + 11x = -60 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 11x = -60 + 0 -27 + 11x = -60 Add '27' to each side of the equation. -27 + 27 + 11x = -60 + 27 Combine like terms: -27 + 27 = 0 0 + 11x = -60 + 27 11x = -60 + 27 Combine like terms: -60 + 27 = -33 11x = -33 Divide each side by '11'. x = -3 Simplifying x = -3
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