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Simplifying (6x) + -1(-3x + 27) = 12 + -4x Reorder the terms: (6x) + -1(27 + -3x) = 12 + -4x (6x) + (27 * -1 + -3x * -1) = 12 + -4x (6x) + (-27 + 3x) = 12 + -4x Reorder the terms: -27 + (6x) + 3x = 12 + -4x Combine like terms: (6x) + 3x = 9x -27 + 9x = 12 + -4x Solving -27 + 9x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -27 + 9x + 4x = 12 + -4x + 4x Combine like terms: 9x + 4x = 13x -27 + 13x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 13x = 12 + 0 -27 + 13x = 12 Add '27' to each side of the equation. -27 + 27 + 13x = 12 + 27 Combine like terms: -27 + 27 = 0 0 + 13x = 12 + 27 13x = 12 + 27 Combine like terms: 12 + 27 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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