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Simplifying 6(X + -2) = 3(1 + 7X) Reorder the terms: 6(-2 + X) = 3(1 + 7X) (-2 * 6 + X * 6) = 3(1 + 7X) (-12 + 6X) = 3(1 + 7X) -12 + 6X = (1 * 3 + 7X * 3) -12 + 6X = (3 + 21X) Solving -12 + 6X = 3 + 21X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21X' to each side of the equation. -12 + 6X + -21X = 3 + 21X + -21X Combine like terms: 6X + -21X = -15X -12 + -15X = 3 + 21X + -21X Combine like terms: 21X + -21X = 0 -12 + -15X = 3 + 0 -12 + -15X = 3 Add '12' to each side of the equation. -12 + 12 + -15X = 3 + 12 Combine like terms: -12 + 12 = 0 0 + -15X = 3 + 12 -15X = 3 + 12 Combine like terms: 3 + 12 = 15 -15X = 15 Divide each side by '-15'. X = -1 Simplifying X = -1
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