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Simplifying 4(-5x + -6) = 4(8x + 5) Reorder the terms: 4(-6 + -5x) = 4(8x + 5) (-6 * 4 + -5x * 4) = 4(8x + 5) (-24 + -20x) = 4(8x + 5) Reorder the terms: -24 + -20x = 4(5 + 8x) -24 + -20x = (5 * 4 + 8x * 4) -24 + -20x = (20 + 32x) Solving -24 + -20x = 20 + 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. -24 + -20x + -32x = 20 + 32x + -32x Combine like terms: -20x + -32x = -52x -24 + -52x = 20 + 32x + -32x Combine like terms: 32x + -32x = 0 -24 + -52x = 20 + 0 -24 + -52x = 20 Add '24' to each side of the equation. -24 + 24 + -52x = 20 + 24 Combine like terms: -24 + 24 = 0 0 + -52x = 20 + 24 -52x = 20 + 24 Combine like terms: 20 + 24 = 44 -52x = 44 Divide each side by '-52'. x = -0.8461538462 Simplifying x = -0.8461538462
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