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Simplifying 3x + 2(3x + -6) = 51 Reorder the terms: 3x + 2(-6 + 3x) = 51 3x + (-6 * 2 + 3x * 2) = 51 3x + (-12 + 6x) = 51 Reorder the terms: -12 + 3x + 6x = 51 Combine like terms: 3x + 6x = 9x -12 + 9x = 51 Solving -12 + 9x = 51 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 9x = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 51 + 12 9x = 51 + 12 Combine like terms: 51 + 12 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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