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Simplifying 12(x + 5) = 9(x + 4) + 9 Reorder the terms: 12(5 + x) = 9(x + 4) + 9 (5 * 12 + x * 12) = 9(x + 4) + 9 (60 + 12x) = 9(x + 4) + 9 Reorder the terms: 60 + 12x = 9(4 + x) + 9 60 + 12x = (4 * 9 + x * 9) + 9 60 + 12x = (36 + 9x) + 9 Reorder the terms: 60 + 12x = 36 + 9 + 9x Combine like terms: 36 + 9 = 45 60 + 12x = 45 + 9x Solving 60 + 12x = 45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 60 + 12x + -9x = 45 + 9x + -9x Combine like terms: 12x + -9x = 3x 60 + 3x = 45 + 9x + -9x Combine like terms: 9x + -9x = 0 60 + 3x = 45 + 0 60 + 3x = 45 Add '-60' to each side of the equation. 60 + -60 + 3x = 45 + -60 Combine like terms: 60 + -60 = 0 0 + 3x = 45 + -60 3x = 45 + -60 Combine like terms: 45 + -60 = -15 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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