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Simplifying 3(X + -4) + 2(3x + 2) = 19 Reorder the terms: 3(-4 + X) + 2(3x + 2) = 19 (-4 * 3 + X * 3) + 2(3x + 2) = 19 (-12 + 3X) + 2(3x + 2) = 19 Reorder the terms: -12 + 3X + 2(2 + 3x) = 19 -12 + 3X + (2 * 2 + 3x * 2) = 19 -12 + 3X + (4 + 6x) = 19 Reorder the terms: -12 + 4 + 3X + 6x = 19 Combine like terms: -12 + 4 = -8 -8 + 3X + 6x = 19 Solving -8 + 3X + 6x = 19 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3X + 8 + 6x = 19 + 8 Reorder the terms: -8 + 8 + 3X + 6x = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 3X + 6x = 19 + 8 3X + 6x = 19 + 8 Combine like terms: 19 + 8 = 27 3X + 6x = 27 Add '-6x' to each side of the equation. 3X + 6x + -6x = 27 + -6x Combine like terms: 6x + -6x = 0 3X + 0 = 27 + -6x 3X = 27 + -6x Divide each side by '3'. X = 9 + -2x Simplifying X = 9 + -2x
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