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Simplifying 6(x + -5) = 3X + -1(X + 2) Reorder the terms: 6(-5 + x) = 3X + -1(X + 2) (-5 * 6 + x * 6) = 3X + -1(X + 2) (-30 + 6x) = 3X + -1(X + 2) Reorder the terms: -30 + 6x = 3X + -1(2 + X) -30 + 6x = 3X + (2 * -1 + X * -1) -30 + 6x = 3X + (-2 + -1X) Reorder the terms: -30 + 6x = -2 + 3X + -1X Combine like terms: 3X + -1X = 2X -30 + 6x = -2 + 2X Solving -30 + 6x = -2 + 2X Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6x = -2 + 30 + 2X Combine like terms: -30 + 30 = 0 0 + 6x = -2 + 30 + 2X 6x = -2 + 30 + 2X Combine like terms: -2 + 30 = 28 6x = 28 + 2X Divide each side by '6'. x = 4.666666667 + 0.3333333333X Simplifying x = 4.666666667 + 0.3333333333X
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