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Simplifying -5(8x + 4) = 4(1 + -8x) Reorder the terms: -5(4 + 8x) = 4(1 + -8x) (4 * -5 + 8x * -5) = 4(1 + -8x) (-20 + -40x) = 4(1 + -8x) -20 + -40x = (1 * 4 + -8x * 4) -20 + -40x = (4 + -32x) Solving -20 + -40x = 4 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -20 + -40x + 32x = 4 + -32x + 32x Combine like terms: -40x + 32x = -8x -20 + -8x = 4 + -32x + 32x Combine like terms: -32x + 32x = 0 -20 + -8x = 4 + 0 -20 + -8x = 4 Add '20' to each side of the equation. -20 + 20 + -8x = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = 4 + 20 -8x = 4 + 20 Combine like terms: 4 + 20 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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