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Simplifying 3[-4(3x + 5) + 3(5x + -2)] = 0 Reorder the terms: 3[-4(5 + 3x) + 3(5x + -2)] = 0 3[(5 * -4 + 3x * -4) + 3(5x + -2)] = 0 3[(-20 + -12x) + 3(5x + -2)] = 0 Reorder the terms: 3[-20 + -12x + 3(-2 + 5x)] = 0 3[-20 + -12x + (-2 * 3 + 5x * 3)] = 0 3[-20 + -12x + (-6 + 15x)] = 0 Reorder the terms: 3[-20 + -6 + -12x + 15x] = 0 Combine like terms: -20 + -6 = -26 3[-26 + -12x + 15x] = 0 Combine like terms: -12x + 15x = 3x 3[-26 + 3x] = 0 [-26 * 3 + 3x * 3] = 0 [-78 + 9x] = 0 Solving -78 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + 9x = 0 + 78 Combine like terms: -78 + 78 = 0 0 + 9x = 0 + 78 9x = 0 + 78 Combine like terms: 0 + 78 = 78 9x = 78 Divide each side by '9'. x = 8.666666667 Simplifying x = 8.666666667
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