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Simplifying 3x + -6(6 + x) = 6x + (2 + -3x) 3x + (6 * -6 + x * -6) = 6x + (2 + -3x) 3x + (-36 + -6x) = 6x + (2 + -3x) Reorder the terms: -36 + 3x + -6x = 6x + (2 + -3x) Combine like terms: 3x + -6x = -3x -36 + -3x = 6x + (2 + -3x) Remove parenthesis around (2 + -3x) -36 + -3x = 6x + 2 + -3x Reorder the terms: -36 + -3x = 2 + 6x + -3x Combine like terms: 6x + -3x = 3x -36 + -3x = 2 + 3x Solving -36 + -3x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + -3x + -3x = 2 + 3x + -3x Combine like terms: -3x + -3x = -6x -36 + -6x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + -6x = 2 + 0 -36 + -6x = 2 Add '36' to each side of the equation. -36 + 36 + -6x = 2 + 36 Combine like terms: -36 + 36 = 0 0 + -6x = 2 + 36 -6x = 2 + 36 Combine like terms: 2 + 36 = 38 -6x = 38 Divide each side by '-6'. x = -6.333333333 Simplifying x = -6.333333333
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