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Simplifying -5(5x + 6) = 6(12x + -5) Reorder the terms: -5(6 + 5x) = 6(12x + -5) (6 * -5 + 5x * -5) = 6(12x + -5) (-30 + -25x) = 6(12x + -5) Reorder the terms: -30 + -25x = 6(-5 + 12x) -30 + -25x = (-5 * 6 + 12x * 6) -30 + -25x = (-30 + 72x) Add '30' to each side of the equation. -30 + 30 + -25x = -30 + 30 + 72x Combine like terms: -30 + 30 = 0 0 + -25x = -30 + 30 + 72x -25x = -30 + 30 + 72x Combine like terms: -30 + 30 = 0 -25x = 0 + 72x -25x = 72x Solving -25x = 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -25x + -72x = 72x + -72x Combine like terms: -25x + -72x = -97x -97x = 72x + -72x Combine like terms: 72x + -72x = 0 -97x = 0 Divide each side by '-97'. x = 0 Simplifying x = 0
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