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Simplifying 12(x + -1) = 3(2x + 1) + 9 Reorder the terms: 12(-1 + x) = 3(2x + 1) + 9 (-1 * 12 + x * 12) = 3(2x + 1) + 9 (-12 + 12x) = 3(2x + 1) + 9 Reorder the terms: -12 + 12x = 3(1 + 2x) + 9 -12 + 12x = (1 * 3 + 2x * 3) + 9 -12 + 12x = (3 + 6x) + 9 Reorder the terms: -12 + 12x = 3 + 9 + 6x Combine like terms: 3 + 9 = 12 -12 + 12x = 12 + 6x Solving -12 + 12x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 12x + -6x = 12 + 6x + -6x Combine like terms: 12x + -6x = 6x -12 + 6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 6x = 12 + 0 -12 + 6x = 12 Add '12' to each side of the equation. -12 + 12 + 6x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = 12 + 12 6x = 12 + 12 Combine like terms: 12 + 12 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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