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Simplifying 4(X + -1) + -1(5x + -8) = 2(3x + -1) + -1 Reorder the terms: 4(-1 + X) + -1(5x + -8) = 2(3x + -1) + -1 (-1 * 4 + X * 4) + -1(5x + -8) = 2(3x + -1) + -1 (-4 + 4X) + -1(5x + -8) = 2(3x + -1) + -1 Reorder the terms: -4 + 4X + -1(-8 + 5x) = 2(3x + -1) + -1 -4 + 4X + (-8 * -1 + 5x * -1) = 2(3x + -1) + -1 -4 + 4X + (8 + -5x) = 2(3x + -1) + -1 Reorder the terms: -4 + 8 + 4X + -5x = 2(3x + -1) + -1 Combine like terms: -4 + 8 = 4 4 + 4X + -5x = 2(3x + -1) + -1 Reorder the terms: 4 + 4X + -5x = 2(-1 + 3x) + -1 4 + 4X + -5x = (-1 * 2 + 3x * 2) + -1 4 + 4X + -5x = (-2 + 6x) + -1 Reorder the terms: 4 + 4X + -5x = -2 + -1 + 6x Combine like terms: -2 + -1 = -3 4 + 4X + -5x = -3 + 6x Solving 4 + 4X + -5x = -3 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 4X + -4 + -5x = -3 + -4 + 6x Reorder the terms: 4 + -4 + 4X + -5x = -3 + -4 + 6x Combine like terms: 4 + -4 = 0 0 + 4X + -5x = -3 + -4 + 6x 4X + -5x = -3 + -4 + 6x Combine like terms: -3 + -4 = -7 4X + -5x = -7 + 6x Add '5x' to each side of the equation. 4X + -5x + 5x = -7 + 6x + 5x Combine like terms: -5x + 5x = 0 4X + 0 = -7 + 6x + 5x 4X = -7 + 6x + 5x Combine like terms: 6x + 5x = 11x 4X = -7 + 11x Divide each side by '4'. X = -1.75 + 2.75x Simplifying X = -1.75 + 2.75x
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