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Simplifying 5X + -2(3X + -5) = -1(3x + -12) Reorder the terms: 5X + -2(-5 + 3X) = -1(3x + -12) 5X + (-5 * -2 + 3X * -2) = -1(3x + -12) 5X + (10 + -6X) = -1(3x + -12) Reorder the terms: 10 + 5X + -6X = -1(3x + -12) Combine like terms: 5X + -6X = -1X 10 + -1X = -1(3x + -12) Reorder the terms: 10 + -1X = -1(-12 + 3x) 10 + -1X = (-12 * -1 + 3x * -1) 10 + -1X = (12 + -3x) Solving 10 + -1X = 12 + -3x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1X = 12 + -10 + -3x Combine like terms: 10 + -10 = 0 0 + -1X = 12 + -10 + -3x -1X = 12 + -10 + -3x Combine like terms: 12 + -10 = 2 -1X = 2 + -3x Divide each side by '-1'. X = -2 + 3x Simplifying X = -2 + 3x
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