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Simplifying 5(5x + -9) = 55x Reorder the terms: 5(-9 + 5x) = 55x (-9 * 5 + 5x * 5) = 55x (-45 + 25x) = 55x Solving -45 + 25x = 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. -45 + 25x + -55x = 55x + -55x Combine like terms: 25x + -55x = -30x -45 + -30x = 55x + -55x Combine like terms: 55x + -55x = 0 -45 + -30x = 0 Add '45' to each side of the equation. -45 + 45 + -30x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -30x = 0 + 45 -30x = 0 + 45 Combine like terms: 0 + 45 = 45 -30x = 45 Divide each side by '-30'. x = -1.5 Simplifying x = -1.5
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