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Simplifying 3(X + -4) + -2(3X + -1) = 17 Reorder the terms: 3(-4 + X) + -2(3X + -1) = 17 (-4 * 3 + X * 3) + -2(3X + -1) = 17 (-12 + 3X) + -2(3X + -1) = 17 Reorder the terms: -12 + 3X + -2(-1 + 3X) = 17 -12 + 3X + (-1 * -2 + 3X * -2) = 17 -12 + 3X + (2 + -6X) = 17 Reorder the terms: -12 + 2 + 3X + -6X = 17 Combine like terms: -12 + 2 = -10 -10 + 3X + -6X = 17 Combine like terms: 3X + -6X = -3X -10 + -3X = 17 Solving -10 + -3X = 17 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3X = 17 + 10 Combine like terms: -10 + 10 = 0 0 + -3X = 17 + 10 -3X = 17 + 10 Combine like terms: 17 + 10 = 27 -3X = 27 Divide each side by '-3'. X = -9 Simplifying X = -9
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