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Simplifying 12(4x + -5) = 3(6x + 2) Reorder the terms: 12(-5 + 4x) = 3(6x + 2) (-5 * 12 + 4x * 12) = 3(6x + 2) (-60 + 48x) = 3(6x + 2) Reorder the terms: -60 + 48x = 3(2 + 6x) -60 + 48x = (2 * 3 + 6x * 3) -60 + 48x = (6 + 18x) Solving -60 + 48x = 6 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -60 + 48x + -18x = 6 + 18x + -18x Combine like terms: 48x + -18x = 30x -60 + 30x = 6 + 18x + -18x Combine like terms: 18x + -18x = 0 -60 + 30x = 6 + 0 -60 + 30x = 6 Add '60' to each side of the equation. -60 + 60 + 30x = 6 + 60 Combine like terms: -60 + 60 = 0 0 + 30x = 6 + 60 30x = 6 + 60 Combine like terms: 6 + 60 = 66 30x = 66 Divide each side by '30'. x = 2.2 Simplifying x = 2.2
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