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Simplifying 2[-3(2x + 5) + 5(4x + -3)] = 0 Reorder the terms: 2[-3(5 + 2x) + 5(4x + -3)] = 0 2[(5 * -3 + 2x * -3) + 5(4x + -3)] = 0 2[(-15 + -6x) + 5(4x + -3)] = 0 Reorder the terms: 2[-15 + -6x + 5(-3 + 4x)] = 0 2[-15 + -6x + (-3 * 5 + 4x * 5)] = 0 2[-15 + -6x + (-15 + 20x)] = 0 Reorder the terms: 2[-15 + -15 + -6x + 20x] = 0 Combine like terms: -15 + -15 = -30 2[-30 + -6x + 20x] = 0 Combine like terms: -6x + 20x = 14x 2[-30 + 14x] = 0 [-30 * 2 + 14x * 2] = 0 [-60 + 28x] = 0 Solving -60 + 28x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + 28x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + 28x = 0 + 60 28x = 0 + 60 Combine like terms: 0 + 60 = 60 28x = 60 Divide each side by '28'. x = 2.142857143 Simplifying x = 2.142857143
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