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Simplifying 3[-3(2x + 4) + 3(3x + -3)] = 0 Reorder the terms: 3[-3(4 + 2x) + 3(3x + -3)] = 0 3[(4 * -3 + 2x * -3) + 3(3x + -3)] = 0 3[(-12 + -6x) + 3(3x + -3)] = 0 Reorder the terms: 3[-12 + -6x + 3(-3 + 3x)] = 0 3[-12 + -6x + (-3 * 3 + 3x * 3)] = 0 3[-12 + -6x + (-9 + 9x)] = 0 Reorder the terms: 3[-12 + -9 + -6x + 9x] = 0 Combine like terms: -12 + -9 = -21 3[-21 + -6x + 9x] = 0 Combine like terms: -6x + 9x = 3x 3[-21 + 3x] = 0 [-21 * 3 + 3x * 3] = 0 [-63 + 9x] = 0 Solving -63 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 9x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 9x = 0 + 63 9x = 0 + 63 Combine like terms: 0 + 63 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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