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Simplifying 8(5 + -1X) = (X + -10) + -1(3x + -2) (5 * 8 + -1X * 8) = (X + -10) + -1(3x + -2) (40 + -8X) = (X + -10) + -1(3x + -2) Reorder the terms: 40 + -8X = (-10 + X) + -1(3x + -2) Remove parenthesis around (-10 + X) 40 + -8X = -10 + X + -1(3x + -2) Reorder the terms: 40 + -8X = -10 + X + -1(-2 + 3x) 40 + -8X = -10 + X + (-2 * -1 + 3x * -1) 40 + -8X = -10 + X + (2 + -3x) Reorder the terms: 40 + -8X = -10 + 2 + X + -3x Combine like terms: -10 + 2 = -8 40 + -8X = -8 + X + -3x Solving 40 + -8X = -8 + X + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 40 + -8X + -1X = -8 + X + -1X + -3x Combine like terms: -8X + -1X = -9X 40 + -9X = -8 + X + -1X + -3x Combine like terms: X + -1X = 0 40 + -9X = -8 + 0 + -3x 40 + -9X = -8 + -3x Add '-40' to each side of the equation. 40 + -40 + -9X = -8 + -40 + -3x Combine like terms: 40 + -40 = 0 0 + -9X = -8 + -40 + -3x -9X = -8 + -40 + -3x Combine like terms: -8 + -40 = -48 -9X = -48 + -3x Divide each side by '-9'. X = 5.333333333 + 0.3333333333x Simplifying X = 5.333333333 + 0.3333333333x
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