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Simplifying 4[-5(2x + 3) + 4(4X + -4)] = 0 Reorder the terms: 4[-5(3 + 2x) + 4(4X + -4)] = 0 4[(3 * -5 + 2x * -5) + 4(4X + -4)] = 0 4[(-15 + -10x) + 4(4X + -4)] = 0 Reorder the terms: 4[-15 + -10x + 4(-4 + 4X)] = 0 4[-15 + -10x + (-4 * 4 + 4X * 4)] = 0 4[-15 + -10x + (-16 + 16X)] = 0 Reorder the terms: 4[-15 + -16 + 16X + -10x] = 0 Combine like terms: -15 + -16 = -31 4[-31 + 16X + -10x] = 0 [-31 * 4 + 16X * 4 + -10x * 4] = 0 [-124 + 64X + -40x] = 0 Solving -124 + 64X + -40x = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '124' to each side of the equation. -124 + 64X + 124 + -40x = 0 + 124 Reorder the terms: -124 + 124 + 64X + -40x = 0 + 124 Combine like terms: -124 + 124 = 0 0 + 64X + -40x = 0 + 124 64X + -40x = 0 + 124 Combine like terms: 0 + 124 = 124 64X + -40x = 124 Add '40x' to each side of the equation. 64X + -40x + 40x = 124 + 40x Combine like terms: -40x + 40x = 0 64X + 0 = 124 + 40x 64X = 124 + 40x Divide each side by '64'. X = 1.9375 + 0.625x Simplifying X = 1.9375 + 0.625x
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