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Simplifying 2[-2(5x + 3) + 4(5x + -3)] = 0 Reorder the terms: 2[-2(3 + 5x) + 4(5x + -3)] = 0 2[(3 * -2 + 5x * -2) + 4(5x + -3)] = 0 2[(-6 + -10x) + 4(5x + -3)] = 0 Reorder the terms: 2[-6 + -10x + 4(-3 + 5x)] = 0 2[-6 + -10x + (-3 * 4 + 5x * 4)] = 0 2[-6 + -10x + (-12 + 20x)] = 0 Reorder the terms: 2[-6 + -12 + -10x + 20x] = 0 Combine like terms: -6 + -12 = -18 2[-18 + -10x + 20x] = 0 Combine like terms: -10x + 20x = 10x 2[-18 + 10x] = 0 [-18 * 2 + 10x * 2] = 0 [-36 + 20x] = 0 Solving -36 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 20x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 20x = 0 + 36 20x = 0 + 36 Combine like terms: 0 + 36 = 36 20x = 36 Divide each side by '20'. x = 1.8 Simplifying x = 1.8
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