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Simplifying 12(3x + -5) = 12(2x + 3) Reorder the terms: 12(-5 + 3x) = 12(2x + 3) (-5 * 12 + 3x * 12) = 12(2x + 3) (-60 + 36x) = 12(2x + 3) Reorder the terms: -60 + 36x = 12(3 + 2x) -60 + 36x = (3 * 12 + 2x * 12) -60 + 36x = (36 + 24x) Solving -60 + 36x = 36 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -60 + 36x + -24x = 36 + 24x + -24x Combine like terms: 36x + -24x = 12x -60 + 12x = 36 + 24x + -24x Combine like terms: 24x + -24x = 0 -60 + 12x = 36 + 0 -60 + 12x = 36 Add '60' to each side of the equation. -60 + 60 + 12x = 36 + 60 Combine like terms: -60 + 60 = 0 0 + 12x = 36 + 60 12x = 36 + 60 Combine like terms: 36 + 60 = 96 12x = 96 Divide each side by '12'. x = 8 Simplifying x = 8
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