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Simplifying -5(4x + -9) + 6 = 20x + 51 Reorder the terms: -5(-9 + 4x) + 6 = 20x + 51 (-9 * -5 + 4x * -5) + 6 = 20x + 51 (45 + -20x) + 6 = 20x + 51 Reorder the terms: 45 + 6 + -20x = 20x + 51 Combine like terms: 45 + 6 = 51 51 + -20x = 20x + 51 Reorder the terms: 51 + -20x = 51 + 20x Add '-51' to each side of the equation. 51 + -51 + -20x = 51 + -51 + 20x Combine like terms: 51 + -51 = 0 0 + -20x = 51 + -51 + 20x -20x = 51 + -51 + 20x Combine like terms: 51 + -51 = 0 -20x = 0 + 20x -20x = 20x Solving -20x = 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -20x + -20x = 20x + -20x Combine like terms: -20x + -20x = -40x -40x = 20x + -20x Combine like terms: 20x + -20x = 0 -40x = 0 Divide each side by '-40'. x = 0.0 Simplifying x = 0.0
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