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Simplifying 5(4x + -1) = -7(4x + -3) Reorder the terms: 5(-1 + 4x) = -7(4x + -3) (-1 * 5 + 4x * 5) = -7(4x + -3) (-5 + 20x) = -7(4x + -3) Reorder the terms: -5 + 20x = -7(-3 + 4x) -5 + 20x = (-3 * -7 + 4x * -7) -5 + 20x = (21 + -28x) Solving -5 + 20x = 21 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -5 + 20x + 28x = 21 + -28x + 28x Combine like terms: 20x + 28x = 48x -5 + 48x = 21 + -28x + 28x Combine like terms: -28x + 28x = 0 -5 + 48x = 21 + 0 -5 + 48x = 21 Add '5' to each side of the equation. -5 + 5 + 48x = 21 + 5 Combine like terms: -5 + 5 = 0 0 + 48x = 21 + 5 48x = 21 + 5 Combine like terms: 21 + 5 = 26 48x = 26 Divide each side by '48'. x = 0.5416666667 Simplifying x = 0.5416666667
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