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Simplifying 2(2 + X) + -1(6 + -7x) = 13 + -1(1 + 4X) (2 * 2 + X * 2) + -1(6 + -7x) = 13 + -1(1 + 4X) (4 + 2X) + -1(6 + -7x) = 13 + -1(1 + 4X) 4 + 2X + (6 * -1 + -7x * -1) = 13 + -1(1 + 4X) 4 + 2X + (-6 + 7x) = 13 + -1(1 + 4X) Reorder the terms: 4 + -6 + 2X + 7x = 13 + -1(1 + 4X) Combine like terms: 4 + -6 = -2 -2 + 2X + 7x = 13 + -1(1 + 4X) -2 + 2X + 7x = 13 + (1 * -1 + 4X * -1) -2 + 2X + 7x = 13 + (-1 + -4X) Combine like terms: 13 + -1 = 12 -2 + 2X + 7x = 12 + -4X Solving -2 + 2X + 7x = 12 + -4X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '4X' to each side of the equation. -2 + 2X + 4X + 7x = 12 + -4X + 4X Combine like terms: 2X + 4X = 6X -2 + 6X + 7x = 12 + -4X + 4X Combine like terms: -4X + 4X = 0 -2 + 6X + 7x = 12 + 0 -2 + 6X + 7x = 12 Add '2' to each side of the equation. -2 + 6X + 2 + 7x = 12 + 2 Reorder the terms: -2 + 2 + 6X + 7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 6X + 7x = 12 + 2 6X + 7x = 12 + 2 Combine like terms: 12 + 2 = 14 6X + 7x = 14 Add '-7x' to each side of the equation. 6X + 7x + -7x = 14 + -7x Combine like terms: 7x + -7x = 0 6X + 0 = 14 + -7x 6X = 14 + -7x Divide each side by '6'. X = 2.333333333 + -1.166666667x Simplifying X = 2.333333333 + -1.166666667x
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