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Simplifying 3X + -4(X + 3) = 8X + 6 Reorder the terms: 3X + -4(3 + X) = 8X + 6 3X + (3 * -4 + X * -4) = 8X + 6 3X + (-12 + -4X) = 8X + 6 Reorder the terms: -12 + 3X + -4X = 8X + 6 Combine like terms: 3X + -4X = -1X -12 + -1X = 8X + 6 Reorder the terms: -12 + -1X = 6 + 8X Solving -12 + -1X = 6 + 8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8X' to each side of the equation. -12 + -1X + -8X = 6 + 8X + -8X Combine like terms: -1X + -8X = -9X -12 + -9X = 6 + 8X + -8X Combine like terms: 8X + -8X = 0 -12 + -9X = 6 + 0 -12 + -9X = 6 Add '12' to each side of the equation. -12 + 12 + -9X = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9X = 6 + 12 -9X = 6 + 12 Combine like terms: 6 + 12 = 18 -9X = 18 Divide each side by '-9'. X = -2 Simplifying X = -2
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