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Simplifying 5(X + -2) = 6(X + 3) Reorder the terms: 5(-2 + X) = 6(X + 3) (-2 * 5 + X * 5) = 6(X + 3) (-10 + 5X) = 6(X + 3) Reorder the terms: -10 + 5X = 6(3 + X) -10 + 5X = (3 * 6 + X * 6) -10 + 5X = (18 + 6X) Solving -10 + 5X = 18 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -10 + 5X + -6X = 18 + 6X + -6X Combine like terms: 5X + -6X = -1X -10 + -1X = 18 + 6X + -6X Combine like terms: 6X + -6X = 0 -10 + -1X = 18 + 0 -10 + -1X = 18 Add '10' to each side of the equation. -10 + 10 + -1X = 18 + 10 Combine like terms: -10 + 10 = 0 0 + -1X = 18 + 10 -1X = 18 + 10 Combine like terms: 18 + 10 = 28 -1X = 28 Divide each side by '-1'. X = -28 Simplifying X = -28
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