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Simplifying 2(25x + -30) = 3(12x + 16) Reorder the terms: 2(-30 + 25x) = 3(12x + 16) (-30 * 2 + 25x * 2) = 3(12x + 16) (-60 + 50x) = 3(12x + 16) Reorder the terms: -60 + 50x = 3(16 + 12x) -60 + 50x = (16 * 3 + 12x * 3) -60 + 50x = (48 + 36x) Solving -60 + 50x = 48 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. -60 + 50x + -36x = 48 + 36x + -36x Combine like terms: 50x + -36x = 14x -60 + 14x = 48 + 36x + -36x Combine like terms: 36x + -36x = 0 -60 + 14x = 48 + 0 -60 + 14x = 48 Add '60' to each side of the equation. -60 + 60 + 14x = 48 + 60 Combine like terms: -60 + 60 = 0 0 + 14x = 48 + 60 14x = 48 + 60 Combine like terms: 48 + 60 = 108 14x = 108 Divide each side by '14'. x = 7.714285714 Simplifying x = 7.714285714
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