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Simplifying -5(1 + -1X) = -3(x + -2) + -1X (1 * -5 + -1X * -5) = -3(x + -2) + -1X (-5 + 5X) = -3(x + -2) + -1X Reorder the terms: -5 + 5X = -3(-2 + x) + -1X -5 + 5X = (-2 * -3 + x * -3) + -1X -5 + 5X = (6 + -3x) + -1X Reorder the terms: -5 + 5X = 6 + -1X + -3x Solving -5 + 5X = 6 + -1X + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. -5 + 5X + X = 6 + -1X + X + -3x Combine like terms: 5X + X = 6X -5 + 6X = 6 + -1X + X + -3x Combine like terms: -1X + X = 0 -5 + 6X = 6 + 0 + -3x -5 + 6X = 6 + -3x Add '5' to each side of the equation. -5 + 5 + 6X = 6 + 5 + -3x Combine like terms: -5 + 5 = 0 0 + 6X = 6 + 5 + -3x 6X = 6 + 5 + -3x Combine like terms: 6 + 5 = 11 6X = 11 + -3x Divide each side by '6'. X = 1.833333333 + -0.5x Simplifying X = 1.833333333 + -0.5x
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