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Simplifying 5(4x + -9) = -8x Reorder the terms: 5(-9 + 4x) = -8x (-9 * 5 + 4x * 5) = -8x (-45 + 20x) = -8x Solving -45 + 20x = -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. -45 + 20x + 8x = -8x + 8x Combine like terms: 20x + 8x = 28x -45 + 28x = -8x + 8x Combine like terms: -8x + 8x = 0 -45 + 28x = 0 Add '45' to each side of the equation. -45 + 45 + 28x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 28x = 0 + 45 28x = 0 + 45 Combine like terms: 0 + 45 = 45 28x = 45 Divide each side by '28'. x = 1.607142857 Simplifying x = 1.607142857
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