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Simplifying 4(2x + -4) = 5x + -4(x + 5) Reorder the terms: 4(-4 + 2x) = 5x + -4(x + 5) (-4 * 4 + 2x * 4) = 5x + -4(x + 5) (-16 + 8x) = 5x + -4(x + 5) Reorder the terms: -16 + 8x = 5x + -4(5 + x) -16 + 8x = 5x + (5 * -4 + x * -4) -16 + 8x = 5x + (-20 + -4x) Reorder the terms: -16 + 8x = -20 + 5x + -4x Combine like terms: 5x + -4x = 1x -16 + 8x = -20 + 1x Solving -16 + 8x = -20 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -16 + 8x + -1x = -20 + 1x + -1x Combine like terms: 8x + -1x = 7x -16 + 7x = -20 + 1x + -1x Combine like terms: 1x + -1x = 0 -16 + 7x = -20 + 0 -16 + 7x = -20 Add '16' to each side of the equation. -16 + 16 + 7x = -20 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = -20 + 16 7x = -20 + 16 Combine like terms: -20 + 16 = -4 7x = -4 Divide each side by '7'. x = -0.5714285714 Simplifying x = -0.5714285714
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