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Simplifying 2[-3(4x + 5) + 5(5x + -4)] = 0 Reorder the terms: 2[-3(5 + 4x) + 5(5x + -4)] = 0 2[(5 * -3 + 4x * -3) + 5(5x + -4)] = 0 2[(-15 + -12x) + 5(5x + -4)] = 0 Reorder the terms: 2[-15 + -12x + 5(-4 + 5x)] = 0 2[-15 + -12x + (-4 * 5 + 5x * 5)] = 0 2[-15 + -12x + (-20 + 25x)] = 0 Reorder the terms: 2[-15 + -20 + -12x + 25x] = 0 Combine like terms: -15 + -20 = -35 2[-35 + -12x + 25x] = 0 Combine like terms: -12x + 25x = 13x 2[-35 + 13x] = 0 [-35 * 2 + 13x * 2] = 0 [-70 + 26x] = 0 Solving -70 + 26x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + 26x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + 26x = 0 + 70 26x = 0 + 70 Combine like terms: 0 + 70 = 70 26x = 70 Divide each side by '26'. x = 2.692307692 Simplifying x = 2.692307692
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