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Simplifying 3(4x + 1) = 2(4.5x + 12) Reorder the terms: 3(1 + 4x) = 2(4.5x + 12) (1 * 3 + 4x * 3) = 2(4.5x + 12) (3 + 12x) = 2(4.5x + 12) Reorder the terms: 3 + 12x = 2(12 + 4.5x) 3 + 12x = (12 * 2 + 4.5x * 2) 3 + 12x = (24 + 9x) Solving 3 + 12x = 24 + 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. 3 + 12x + -9x = 24 + 9x + -9x Combine like terms: 12x + -9x = 3x 3 + 3x = 24 + 9x + -9x Combine like terms: 9x + -9x = 0 3 + 3x = 24 + 0 3 + 3x = 24 Add '-3' to each side of the equation. 3 + -3 + 3x = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3x = 24 + -3 3x = 24 + -3 Combine like terms: 24 + -3 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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