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Simplifying 12x + (4x + 6) = 3x + (9x + 27) Reorder the terms: 12x + (6 + 4x) = 3x + (9x + 27) Remove parenthesis around (6 + 4x) 12x + 6 + 4x = 3x + (9x + 27) Reorder the terms: 6 + 12x + 4x = 3x + (9x + 27) Combine like terms: 12x + 4x = 16x 6 + 16x = 3x + (9x + 27) Reorder the terms: 6 + 16x = 3x + (27 + 9x) Remove parenthesis around (27 + 9x) 6 + 16x = 3x + 27 + 9x Reorder the terms: 6 + 16x = 27 + 3x + 9x Combine like terms: 3x + 9x = 12x 6 + 16x = 27 + 12x Solving 6 + 16x = 27 + 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 + 16x + -12x = 27 + 12x + -12x Combine like terms: 16x + -12x = 4x 6 + 4x = 27 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + 4x = 27 + 0 6 + 4x = 27 Add '-6' to each side of the equation. 6 + -6 + 4x = 27 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 27 + -6 4x = 27 + -6 Combine like terms: 27 + -6 = 21 4x = 21 Divide each side by '4'. x = 5.25 Simplifying x = 5.25
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