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Simplifying 4(5x + 1) + -1(4x + -3) = 0 Reorder the terms: 4(1 + 5x) + -1(4x + -3) = 0 (1 * 4 + 5x * 4) + -1(4x + -3) = 0 (4 + 20x) + -1(4x + -3) = 0 Reorder the terms: 4 + 20x + -1(-3 + 4x) = 0 4 + 20x + (-3 * -1 + 4x * -1) = 0 4 + 20x + (3 + -4x) = 0 Reorder the terms: 4 + 3 + 20x + -4x = 0 Combine like terms: 4 + 3 = 7 7 + 20x + -4x = 0 Combine like terms: 20x + -4x = 16x 7 + 16x = 0 Solving 7 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 16x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 16x = 0 + -7 16x = 0 + -7 Combine like terms: 0 + -7 = -7 16x = -7 Divide each side by '16'. x = -0.4375 Simplifying x = -0.4375
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