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Simplifying -12 = -5(X + -1) + 7(X + -5) Reorder the terms: -12 = -5(-1 + X) + 7(X + -5) -12 = (-1 * -5 + X * -5) + 7(X + -5) -12 = (5 + -5X) + 7(X + -5) Reorder the terms: -12 = 5 + -5X + 7(-5 + X) -12 = 5 + -5X + (-5 * 7 + X * 7) -12 = 5 + -5X + (-35 + 7X) Reorder the terms: -12 = 5 + -35 + -5X + 7X Combine like terms: 5 + -35 = -30 -12 = -30 + -5X + 7X Combine like terms: -5X + 7X = 2X -12 = -30 + 2X Solving -12 = -30 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. -12 + -2X = -30 + 2X + -2X Combine like terms: 2X + -2X = 0 -12 + -2X = -30 + 0 -12 + -2X = -30 Add '12' to each side of the equation. -12 + 12 + -2X = -30 + 12 Combine like terms: -12 + 12 = 0 0 + -2X = -30 + 12 -2X = -30 + 12 Combine like terms: -30 + 12 = -18 -2X = -18 Divide each side by '-2'. X = 9 Simplifying X = 9
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