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Simplifying 6(2x + 1) + -12 = 7 + 12(X + -1) Reorder the terms: 6(1 + 2x) + -12 = 7 + 12(X + -1) (1 * 6 + 2x * 6) + -12 = 7 + 12(X + -1) (6 + 12x) + -12 = 7 + 12(X + -1) Reorder the terms: 6 + -12 + 12x = 7 + 12(X + -1) Combine like terms: 6 + -12 = -6 -6 + 12x = 7 + 12(X + -1) Reorder the terms: -6 + 12x = 7 + 12(-1 + X) -6 + 12x = 7 + (-1 * 12 + X * 12) -6 + 12x = 7 + (-12 + 12X) Combine like terms: 7 + -12 = -5 -6 + 12x = -5 + 12X Solving -6 + 12x = -5 + 12X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 12x = -5 + 6 + 12X Combine like terms: -6 + 6 = 0 0 + 12x = -5 + 6 + 12X 12x = -5 + 6 + 12X Combine like terms: -5 + 6 = 1 12x = 1 + 12X Divide each side by '12'. x = 0.08333333333 + X Simplifying x = 0.08333333333 + X
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