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Simplifying 2(3X + -1) + 3(Y + -4) = 13 Reorder the terms: 2(-1 + 3X) + 3(Y + -4) = 13 (-1 * 2 + 3X * 2) + 3(Y + -4) = 13 (-2 + 6X) + 3(Y + -4) = 13 Reorder the terms: -2 + 6X + 3(-4 + Y) = 13 -2 + 6X + (-4 * 3 + Y * 3) = 13 -2 + 6X + (-12 + 3Y) = 13 Reorder the terms: -2 + -12 + 6X + 3Y = 13 Combine like terms: -2 + -12 = -14 -14 + 6X + 3Y = 13 Solving -14 + 6X + 3Y = 13 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 6X + 14 + 3Y = 13 + 14 Reorder the terms: -14 + 14 + 6X + 3Y = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 6X + 3Y = 13 + 14 6X + 3Y = 13 + 14 Combine like terms: 13 + 14 = 27 6X + 3Y = 27 Add '-3Y' to each side of the equation. 6X + 3Y + -3Y = 27 + -3Y Combine like terms: 3Y + -3Y = 0 6X + 0 = 27 + -3Y 6X = 27 + -3Y Divide each side by '6'. X = 4.5 + -0.5Y Simplifying X = 4.5 + -0.5Y
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