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Simplifying 6(2x + -1) + -2 = 7 + 12(X + -1) Reorder the terms: 6(-1 + 2x) + -2 = 7 + 12(X + -1) (-1 * 6 + 2x * 6) + -2 = 7 + 12(X + -1) (-6 + 12x) + -2 = 7 + 12(X + -1) Reorder the terms: -6 + -2 + 12x = 7 + 12(X + -1) Combine like terms: -6 + -2 = -8 -8 + 12x = 7 + 12(X + -1) Reorder the terms: -8 + 12x = 7 + 12(-1 + X) -8 + 12x = 7 + (-1 * 12 + X * 12) -8 + 12x = 7 + (-12 + 12X) Combine like terms: 7 + -12 = -5 -8 + 12x = -5 + 12X Solving -8 + 12x = -5 + 12X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12x = -5 + 8 + 12X Combine like terms: -8 + 8 = 0 0 + 12x = -5 + 8 + 12X 12x = -5 + 8 + 12X Combine like terms: -5 + 8 = 3 12x = 3 + 12X Divide each side by '12'. x = 0.25 + X Simplifying x = 0.25 + X
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