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Simplifying 2(4x + 1) = -5(4x + -1) Reorder the terms: 2(1 + 4x) = -5(4x + -1) (1 * 2 + 4x * 2) = -5(4x + -1) (2 + 8x) = -5(4x + -1) Reorder the terms: 2 + 8x = -5(-1 + 4x) 2 + 8x = (-1 * -5 + 4x * -5) 2 + 8x = (5 + -20x) Solving 2 + 8x = 5 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. 2 + 8x + 20x = 5 + -20x + 20x Combine like terms: 8x + 20x = 28x 2 + 28x = 5 + -20x + 20x Combine like terms: -20x + 20x = 0 2 + 28x = 5 + 0 2 + 28x = 5 Add '-2' to each side of the equation. 2 + -2 + 28x = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 28x = 5 + -2 28x = 5 + -2 Combine like terms: 5 + -2 = 3 28x = 3 Divide each side by '28'. x = 0.1071428571 Simplifying x = 0.1071428571
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