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Simplifying 12(4x + 5) = 6(2x + 4) Reorder the terms: 12(5 + 4x) = 6(2x + 4) (5 * 12 + 4x * 12) = 6(2x + 4) (60 + 48x) = 6(2x + 4) Reorder the terms: 60 + 48x = 6(4 + 2x) 60 + 48x = (4 * 6 + 2x * 6) 60 + 48x = (24 + 12x) Solving 60 + 48x = 24 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 60 + 48x + -12x = 24 + 12x + -12x Combine like terms: 48x + -12x = 36x 60 + 36x = 24 + 12x + -12x Combine like terms: 12x + -12x = 0 60 + 36x = 24 + 0 60 + 36x = 24 Add '-60' to each side of the equation. 60 + -60 + 36x = 24 + -60 Combine like terms: 60 + -60 = 0 0 + 36x = 24 + -60 36x = 24 + -60 Combine like terms: 24 + -60 = -36 36x = -36 Divide each side by '36'. x = -1 Simplifying x = -1
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