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Simplifying 3(2 + 3x) = x + (4x + 18) (2 * 3 + 3x * 3) = x + (4x + 18) (6 + 9x) = x + (4x + 18) Reorder the terms: 6 + 9x = x + (18 + 4x) Remove parenthesis around (18 + 4x) 6 + 9x = x + 18 + 4x Reorder the terms: 6 + 9x = 18 + x + 4x Combine like terms: x + 4x = 5x 6 + 9x = 18 + 5x Solving 6 + 9x = 18 + 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. 6 + 9x + -5x = 18 + 5x + -5x Combine like terms: 9x + -5x = 4x 6 + 4x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 4x = 18 + 0 6 + 4x = 18 Add '-6' to each side of the equation. 6 + -6 + 4x = 18 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 18 + -6 4x = 18 + -6 Combine like terms: 18 + -6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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