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Simplifying 3x + -1(4 + -5X) = 2(11 + -1X) 3x + (4 * -1 + -5X * -1) = 2(11 + -1X) 3x + (-4 + 5X) = 2(11 + -1X) Reorder the terms: -4 + 5X + 3x = 2(11 + -1X) -4 + 5X + 3x = (11 * 2 + -1X * 2) -4 + 5X + 3x = (22 + -2X) Solving -4 + 5X + 3x = 22 + -2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2X' to each side of the equation. -4 + 5X + 2X + 3x = 22 + -2X + 2X Combine like terms: 5X + 2X = 7X -4 + 7X + 3x = 22 + -2X + 2X Combine like terms: -2X + 2X = 0 -4 + 7X + 3x = 22 + 0 -4 + 7X + 3x = 22 Add '4' to each side of the equation. -4 + 7X + 4 + 3x = 22 + 4 Reorder the terms: -4 + 4 + 7X + 3x = 22 + 4 Combine like terms: -4 + 4 = 0 0 + 7X + 3x = 22 + 4 7X + 3x = 22 + 4 Combine like terms: 22 + 4 = 26 7X + 3x = 26 Add '-3x' to each side of the equation. 7X + 3x + -3x = 26 + -3x Combine like terms: 3x + -3x = 0 7X + 0 = 26 + -3x 7X = 26 + -3x Divide each side by '7'. X = 3.714285714 + -0.4285714286x Simplifying X = 3.714285714 + -0.4285714286x
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