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Simplifying 5(X + 1) = -3(X + -2) + -6 Reorder the terms: 5(1 + X) = -3(X + -2) + -6 (1 * 5 + X * 5) = -3(X + -2) + -6 (5 + 5X) = -3(X + -2) + -6 Reorder the terms: 5 + 5X = -3(-2 + X) + -6 5 + 5X = (-2 * -3 + X * -3) + -6 5 + 5X = (6 + -3X) + -6 Reorder the terms: 5 + 5X = 6 + -6 + -3X Combine like terms: 6 + -6 = 0 5 + 5X = 0 + -3X 5 + 5X = -3X Solving 5 + 5X = -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. 5 + 5X + 3X = -3X + 3X Combine like terms: 5X + 3X = 8X 5 + 8X = -3X + 3X Combine like terms: -3X + 3X = 0 5 + 8X = 0 Add '-5' to each side of the equation. 5 + -5 + 8X = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8X = 0 + -5 8X = 0 + -5 Combine like terms: 0 + -5 = -5 8X = -5 Divide each side by '8'. X = -0.625 Simplifying X = -0.625
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