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Simplifying 5[-4(3x + 5) + 3(5x + -4)] = 0 Reorder the terms: 5[-4(5 + 3x) + 3(5x + -4)] = 0 5[(5 * -4 + 3x * -4) + 3(5x + -4)] = 0 5[(-20 + -12x) + 3(5x + -4)] = 0 Reorder the terms: 5[-20 + -12x + 3(-4 + 5x)] = 0 5[-20 + -12x + (-4 * 3 + 5x * 3)] = 0 5[-20 + -12x + (-12 + 15x)] = 0 Reorder the terms: 5[-20 + -12 + -12x + 15x] = 0 Combine like terms: -20 + -12 = -32 5[-32 + -12x + 15x] = 0 Combine like terms: -12x + 15x = 3x 5[-32 + 3x] = 0 [-32 * 5 + 3x * 5] = 0 [-160 + 15x] = 0 Solving -160 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '160' to each side of the equation. -160 + 160 + 15x = 0 + 160 Combine like terms: -160 + 160 = 0 0 + 15x = 0 + 160 15x = 0 + 160 Combine like terms: 0 + 160 = 160 15x = 160 Divide each side by '15'. x = 10.66666667 Simplifying x = 10.66666667
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