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Simplifying 3(x + -12) + 6x = 46 Reorder the terms: 3(-12 + x) + 6x = 46 (-12 * 3 + x * 3) + 6x = 46 (-36 + 3x) + 6x = 46 Combine like terms: 3x + 6x = 9x -36 + 9x = 46 Solving -36 + 9x = 46 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 9x = 46 + 36 Combine like terms: -36 + 36 = 0 0 + 9x = 46 + 36 9x = 46 + 36 Combine like terms: 46 + 36 = 82 9x = 82 Divide each side by '9'. x = 9.111111111 Simplifying x = 9.111111111
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