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