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Simplifying 4[-5(3x + 5) + 4(5x + -3)] = 0 Reorder the terms: 4[-5(5 + 3x) + 4(5x + -3)] = 0 4[(5 * -5 + 3x * -5) + 4(5x + -3)] = 0 4[(-25 + -15x) + 4(5x + -3)] = 0 Reorder the terms: 4[-25 + -15x + 4(-3 + 5x)] = 0 4[-25 + -15x + (-3 * 4 + 5x * 4)] = 0 4[-25 + -15x + (-12 + 20x)] = 0 Reorder the terms: 4[-25 + -12 + -15x + 20x] = 0 Combine like terms: -25 + -12 = -37 4[-37 + -15x + 20x] = 0 Combine like terms: -15x + 20x = 5x 4[-37 + 5x] = 0 [-37 * 4 + 5x * 4] = 0 [-148 + 20x] = 0 Solving -148 + 20x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '148' to each side of the equation. -148 + 148 + 20x = 0 + 148 Combine like terms: -148 + 148 = 0 0 + 20x = 0 + 148 20x = 0 + 148 Combine like terms: 0 + 148 = 148 20x = 148 Divide each side by '20'. x = 7.4 Simplifying x = 7.4
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