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Simplifying 5[3(7x + 5) + -3(5x + 6)] = 0 Reorder the terms: 5[3(5 + 7x) + -3(5x + 6)] = 0 5[(5 * 3 + 7x * 3) + -3(5x + 6)] = 0 5[(15 + 21x) + -3(5x + 6)] = 0 Reorder the terms: 5[15 + 21x + -3(6 + 5x)] = 0 5[15 + 21x + (6 * -3 + 5x * -3)] = 0 5[15 + 21x + (-18 + -15x)] = 0 Reorder the terms: 5[15 + -18 + 21x + -15x] = 0 Combine like terms: 15 + -18 = -3 5[-3 + 21x + -15x] = 0 Combine like terms: 21x + -15x = 6x 5[-3 + 6x] = 0 [-3 * 5 + 6x * 5] = 0 [-15 + 30x] = 0 Solving -15 + 30x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 30x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 30x = 0 + 15 30x = 0 + 15 Combine like terms: 0 + 15 = 15 30x = 15 Divide each side by '30'. x = 0.5 Simplifying x = 0.5
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