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Simplifying 2x + -3[4 + -1(3x + -7)] = 0 Reorder the terms: 2x + -3[4 + -1(-7 + 3x)] = 0 2x + -3[4 + (-7 * -1 + 3x * -1)] = 0 2x + -3[4 + (7 + -3x)] = 0 Combine like terms: 4 + 7 = 11 2x + -3[11 + -3x] = 0 2x + [11 * -3 + -3x * -3] = 0 2x + [-33 + 9x] = 0 Reorder the terms: -33 + 2x + 9x = 0 Combine like terms: 2x + 9x = 11x -33 + 11x = 0 Solving -33 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 11x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 11x = 0 + 33 11x = 0 + 33 Combine like terms: 0 + 33 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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