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Simplifying 4(2x + 9) = 5(x + 12) Reorder the terms: 4(9 + 2x) = 5(x + 12) (9 * 4 + 2x * 4) = 5(x + 12) (36 + 8x) = 5(x + 12) Reorder the terms: 36 + 8x = 5(12 + x) 36 + 8x = (12 * 5 + x * 5) 36 + 8x = (60 + 5x) Solving 36 + 8x = 60 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 36 + 8x + -5x = 60 + 5x + -5x Combine like terms: 8x + -5x = 3x 36 + 3x = 60 + 5x + -5x Combine like terms: 5x + -5x = 0 36 + 3x = 60 + 0 36 + 3x = 60 Add '-36' to each side of the equation. 36 + -36 + 3x = 60 + -36 Combine like terms: 36 + -36 = 0 0 + 3x = 60 + -36 3x = 60 + -36 Combine like terms: 60 + -36 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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