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Simplifying 2[-3(5x + 3) + 5(4x + -5)] = 0 Reorder the terms: 2[-3(3 + 5x) + 5(4x + -5)] = 0 2[(3 * -3 + 5x * -3) + 5(4x + -5)] = 0 2[(-9 + -15x) + 5(4x + -5)] = 0 Reorder the terms: 2[-9 + -15x + 5(-5 + 4x)] = 0 2[-9 + -15x + (-5 * 5 + 4x * 5)] = 0 2[-9 + -15x + (-25 + 20x)] = 0 Reorder the terms: 2[-9 + -25 + -15x + 20x] = 0 Combine like terms: -9 + -25 = -34 2[-34 + -15x + 20x] = 0 Combine like terms: -15x + 20x = 5x 2[-34 + 5x] = 0 [-34 * 2 + 5x * 2] = 0 [-68 + 10x] = 0 Solving -68 + 10x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '68' to each side of the equation. -68 + 68 + 10x = 0 + 68 Combine like terms: -68 + 68 = 0 0 + 10x = 0 + 68 10x = 0 + 68 Combine like terms: 0 + 68 = 68 10x = 68 Divide each side by '10'. x = 6.8 Simplifying x = 6.8
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