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Simplifying -4(x + 8) = -5(x + -4) Reorder the terms: -4(8 + x) = -5(x + -4) (8 * -4 + x * -4) = -5(x + -4) (-32 + -4x) = -5(x + -4) Reorder the terms: -32 + -4x = -5(-4 + x) -32 + -4x = (-4 * -5 + x * -5) -32 + -4x = (20 + -5x) Solving -32 + -4x = 20 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -32 + -4x + 5x = 20 + -5x + 5x Combine like terms: -4x + 5x = 1x -32 + 1x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 -32 + 1x = 20 + 0 -32 + 1x = 20 Add '32' to each side of the equation. -32 + 32 + 1x = 20 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = 20 + 32 1x = 20 + 32 Combine like terms: 20 + 32 = 52 1x = 52 Divide each side by '1'. x = 52 Simplifying x = 52
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