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Simplifying 2(3x + -7) + -5 = 12 Reorder the terms: 2(-7 + 3x) + -5 = 12 (-7 * 2 + 3x * 2) + -5 = 12 (-14 + 6x) + -5 = 12 Reorder the terms: -14 + -5 + 6x = 12 Combine like terms: -14 + -5 = -19 -19 + 6x = 12 Solving -19 + 6x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 6x = 12 + 19 Combine like terms: -19 + 19 = 0 0 + 6x = 12 + 19 6x = 12 + 19 Combine like terms: 12 + 19 = 31 6x = 31 Divide each side by '6'. x = 5.166666667 Simplifying x = 5.166666667
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