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Simplifying -4(1 + -5x) = -8(x + -3) (1 * -4 + -5x * -4) = -8(x + -3) (-4 + 20x) = -8(x + -3) Reorder the terms: -4 + 20x = -8(-3 + x) -4 + 20x = (-3 * -8 + x * -8) -4 + 20x = (24 + -8x) Solving -4 + 20x = 24 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -4 + 20x + 8x = 24 + -8x + 8x Combine like terms: 20x + 8x = 28x -4 + 28x = 24 + -8x + 8x Combine like terms: -8x + 8x = 0 -4 + 28x = 24 + 0 -4 + 28x = 24 Add '4' to each side of the equation. -4 + 4 + 28x = 24 + 4 Combine like terms: -4 + 4 = 0 0 + 28x = 24 + 4 28x = 24 + 4 Combine like terms: 24 + 4 = 28 28x = 28 Divide each side by '28'. x = 1 Simplifying x = 1
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