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Simplifying 3(2X + -5) + 4(3X + 2) = 11 Reorder the terms: 3(-5 + 2X) + 4(3X + 2) = 11 (-5 * 3 + 2X * 3) + 4(3X + 2) = 11 (-15 + 6X) + 4(3X + 2) = 11 Reorder the terms: -15 + 6X + 4(2 + 3X) = 11 -15 + 6X + (2 * 4 + 3X * 4) = 11 -15 + 6X + (8 + 12X) = 11 Reorder the terms: -15 + 8 + 6X + 12X = 11 Combine like terms: -15 + 8 = -7 -7 + 6X + 12X = 11 Combine like terms: 6X + 12X = 18X -7 + 18X = 11 Solving -7 + 18X = 11 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 18X = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 18X = 11 + 7 18X = 11 + 7 Combine like terms: 11 + 7 = 18 18X = 18 Divide each side by '18'. X = 1 Simplifying X = 1
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