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Simplifying 5(X + -6) + 11 = 7(-1X + -1) Reorder the terms: 5(-6 + X) + 11 = 7(-1X + -1) (-6 * 5 + X * 5) + 11 = 7(-1X + -1) (-30 + 5X) + 11 = 7(-1X + -1) Reorder the terms: -30 + 11 + 5X = 7(-1X + -1) Combine like terms: -30 + 11 = -19 -19 + 5X = 7(-1X + -1) Reorder the terms: -19 + 5X = 7(-1 + -1X) -19 + 5X = (-1 * 7 + -1X * 7) -19 + 5X = (-7 + -7X) Solving -19 + 5X = -7 + -7X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '7X' to each side of the equation. -19 + 5X + 7X = -7 + -7X + 7X Combine like terms: 5X + 7X = 12X -19 + 12X = -7 + -7X + 7X Combine like terms: -7X + 7X = 0 -19 + 12X = -7 + 0 -19 + 12X = -7 Add '19' to each side of the equation. -19 + 19 + 12X = -7 + 19 Combine like terms: -19 + 19 = 0 0 + 12X = -7 + 19 12X = -7 + 19 Combine like terms: -7 + 19 = 12 12X = 12 Divide each side by '12'. X = 1 Simplifying X = 1
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