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Simplifying 12x + -1(6 + 3x) = 3(x + -2) 12x + (6 * -1 + 3x * -1) = 3(x + -2) 12x + (-6 + -3x) = 3(x + -2) Reorder the terms: -6 + 12x + -3x = 3(x + -2) Combine like terms: 12x + -3x = 9x -6 + 9x = 3(x + -2) Reorder the terms: -6 + 9x = 3(-2 + x) -6 + 9x = (-2 * 3 + x * 3) -6 + 9x = (-6 + 3x) Add '6' to each side of the equation. -6 + 6 + 9x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + 9x = -6 + 6 + 3x 9x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 9x = 0 + 3x 9x = 3x Solving 9x = 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. 9x + -3x = 3x + -3x Combine like terms: 9x + -3x = 6x 6x = 3x + -3x Combine like terms: 3x + -3x = 0 6x = 0 Divide each side by '6'. x = 0 Simplifying x = 0
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