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Simplifying 3(x + 2) = 4(3x + 4) Reorder the terms: 3(2 + x) = 4(3x + 4) (2 * 3 + x * 3) = 4(3x + 4) (6 + 3x) = 4(3x + 4) Reorder the terms: 6 + 3x = 4(4 + 3x) 6 + 3x = (4 * 4 + 3x * 4) 6 + 3x = (16 + 12x) Solving 6 + 3x = 16 + 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. 6 + 3x + -12x = 16 + 12x + -12x Combine like terms: 3x + -12x = -9x 6 + -9x = 16 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -9x = 16 + 0 6 + -9x = 16 Add '-6' to each side of the equation. 6 + -6 + -9x = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 16 + -6 -9x = 16 + -6 Combine like terms: 16 + -6 = 10 -9x = 10 Divide each side by '-9'. x = -1.111111111 Simplifying x = -1.111111111
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