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Simplifying 5(X + -2) + -3(3X + 1) = -5 Reorder the terms: 5(-2 + X) + -3(3X + 1) = -5 (-2 * 5 + X * 5) + -3(3X + 1) = -5 (-10 + 5X) + -3(3X + 1) = -5 Reorder the terms: -10 + 5X + -3(1 + 3X) = -5 -10 + 5X + (1 * -3 + 3X * -3) = -5 -10 + 5X + (-3 + -9X) = -5 Reorder the terms: -10 + -3 + 5X + -9X = -5 Combine like terms: -10 + -3 = -13 -13 + 5X + -9X = -5 Combine like terms: 5X + -9X = -4X -13 + -4X = -5 Solving -13 + -4X = -5 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4X = -5 + 13 Combine like terms: -13 + 13 = 0 0 + -4X = -5 + 13 -4X = -5 + 13 Combine like terms: -5 + 13 = 8 -4X = 8 Divide each side by '-4'. X = -2 Simplifying X = -2
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