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Simplifying 3[-4(5x + 3) + 5(5x + -3)] = 0 Reorder the terms: 3[-4(3 + 5x) + 5(5x + -3)] = 0 3[(3 * -4 + 5x * -4) + 5(5x + -3)] = 0 3[(-12 + -20x) + 5(5x + -3)] = 0 Reorder the terms: 3[-12 + -20x + 5(-3 + 5x)] = 0 3[-12 + -20x + (-3 * 5 + 5x * 5)] = 0 3[-12 + -20x + (-15 + 25x)] = 0 Reorder the terms: 3[-12 + -15 + -20x + 25x] = 0 Combine like terms: -12 + -15 = -27 3[-27 + -20x + 25x] = 0 Combine like terms: -20x + 25x = 5x 3[-27 + 5x] = 0 [-27 * 3 + 5x * 3] = 0 [-81 + 15x] = 0 Solving -81 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 15x = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 15x = 0 + 81 15x = 0 + 81 Combine like terms: 0 + 81 = 81 15x = 81 Divide each side by '15'. x = 5.4 Simplifying x = 5.4
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