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Simplifying 5(4x + -1) + 2(4x + -1) = 0 Reorder the terms: 5(-1 + 4x) + 2(4x + -1) = 0 (-1 * 5 + 4x * 5) + 2(4x + -1) = 0 (-5 + 20x) + 2(4x + -1) = 0 Reorder the terms: -5 + 20x + 2(-1 + 4x) = 0 -5 + 20x + (-1 * 2 + 4x * 2) = 0 -5 + 20x + (-2 + 8x) = 0 Reorder the terms: -5 + -2 + 20x + 8x = 0 Combine like terms: -5 + -2 = -7 -7 + 20x + 8x = 0 Combine like terms: 20x + 8x = 28x -7 + 28x = 0 Solving -7 + 28x = 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 + 28x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 28x = 0 + 7 28x = 0 + 7 Combine like terms: 0 + 7 = 7 28x = 7 Divide each side by '28'. x = 0.25 Simplifying x = 0.25
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