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Simplifying 6(2X + -7) + -2 = 6(X + -6) + (4) Reorder the terms: 6(-7 + 2X) + -2 = 6(X + -6) + (4) (-7 * 6 + 2X * 6) + -2 = 6(X + -6) + (4) (-42 + 12X) + -2 = 6(X + -6) + (4) Reorder the terms: -42 + -2 + 12X = 6(X + -6) + (4) Combine like terms: -42 + -2 = -44 -44 + 12X = 6(X + -6) + (4) Reorder the terms: -44 + 12X = 6(-6 + X) + (4) -44 + 12X = (-6 * 6 + X * 6) + (4) -44 + 12X = (-36 + 6X) + (4) -44 + 12X = -36 + 6X + 4 Reorder the terms: -44 + 12X = -36 + 4 + 6X Combine like terms: -36 + 4 = -32 -44 + 12X = -32 + 6X Solving -44 + 12X = -32 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -44 + 12X + -6X = -32 + 6X + -6X Combine like terms: 12X + -6X = 6X -44 + 6X = -32 + 6X + -6X Combine like terms: 6X + -6X = 0 -44 + 6X = -32 + 0 -44 + 6X = -32 Add '44' to each side of the equation. -44 + 44 + 6X = -32 + 44 Combine like terms: -44 + 44 = 0 0 + 6X = -32 + 44 6X = -32 + 44 Combine like terms: -32 + 44 = 12 6X = 12 Divide each side by '6'. X = 2 Simplifying X = 2
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