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Simplifying 3(X + -6) = 5(X + -1) Reorder the terms: 3(-6 + X) = 5(X + -1) (-6 * 3 + X * 3) = 5(X + -1) (-18 + 3X) = 5(X + -1) Reorder the terms: -18 + 3X = 5(-1 + X) -18 + 3X = (-1 * 5 + X * 5) -18 + 3X = (-5 + 5X) Solving -18 + 3X = -5 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -18 + 3X + -5X = -5 + 5X + -5X Combine like terms: 3X + -5X = -2X -18 + -2X = -5 + 5X + -5X Combine like terms: 5X + -5X = 0 -18 + -2X = -5 + 0 -18 + -2X = -5 Add '18' to each side of the equation. -18 + 18 + -2X = -5 + 18 Combine like terms: -18 + 18 = 0 0 + -2X = -5 + 18 -2X = -5 + 18 Combine like terms: -5 + 18 = 13 -2X = 13 Divide each side by '-2'. X = -6.5 Simplifying X = -6.5
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