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Simplifying 5[-3(2x + 3) + 4(4x + -5)] = 0 Reorder the terms: 5[-3(3 + 2x) + 4(4x + -5)] = 0 5[(3 * -3 + 2x * -3) + 4(4x + -5)] = 0 5[(-9 + -6x) + 4(4x + -5)] = 0 Reorder the terms: 5[-9 + -6x + 4(-5 + 4x)] = 0 5[-9 + -6x + (-5 * 4 + 4x * 4)] = 0 5[-9 + -6x + (-20 + 16x)] = 0 Reorder the terms: 5[-9 + -20 + -6x + 16x] = 0 Combine like terms: -9 + -20 = -29 5[-29 + -6x + 16x] = 0 Combine like terms: -6x + 16x = 10x 5[-29 + 10x] = 0 [-29 * 5 + 10x * 5] = 0 [-145 + 50x] = 0 Solving -145 + 50x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '145' to each side of the equation. -145 + 145 + 50x = 0 + 145 Combine like terms: -145 + 145 = 0 0 + 50x = 0 + 145 50x = 0 + 145 Combine like terms: 0 + 145 = 145 50x = 145 Divide each side by '50'. x = 2.9 Simplifying x = 2.9
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