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Simplifying 5[-3(3x + 5) + 3(5x + -3)] = 0 Reorder the terms: 5[-3(5 + 3x) + 3(5x + -3)] = 0 5[(5 * -3 + 3x * -3) + 3(5x + -3)] = 0 5[(-15 + -9x) + 3(5x + -3)] = 0 Reorder the terms: 5[-15 + -9x + 3(-3 + 5x)] = 0 5[-15 + -9x + (-3 * 3 + 5x * 3)] = 0 5[-15 + -9x + (-9 + 15x)] = 0 Reorder the terms: 5[-15 + -9 + -9x + 15x] = 0 Combine like terms: -15 + -9 = -24 5[-24 + -9x + 15x] = 0 Combine like terms: -9x + 15x = 6x 5[-24 + 6x] = 0 [-24 * 5 + 6x * 5] = 0 [-120 + 30x] = 0 Solving -120 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 30x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 30x = 0 + 120 30x = 0 + 120 Combine like terms: 0 + 120 = 120 30x = 120 Divide each side by '30'. x = 4 Simplifying x = 4
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