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Simplifying 2(X + -5) + -6 = -1X + 7 Reorder the terms: 2(-5 + X) + -6 = -1X + 7 (-5 * 2 + X * 2) + -6 = -1X + 7 (-10 + 2X) + -6 = -1X + 7 Reorder the terms: -10 + -6 + 2X = -1X + 7 Combine like terms: -10 + -6 = -16 -16 + 2X = -1X + 7 Reorder the terms: -16 + 2X = 7 + -1X Solving -16 + 2X = 7 + -1X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'X' to each side of the equation. -16 + 2X + X = 7 + -1X + X Combine like terms: 2X + X = 3X -16 + 3X = 7 + -1X + X Combine like terms: -1X + X = 0 -16 + 3X = 7 + 0 -16 + 3X = 7 Add '16' to each side of the equation. -16 + 16 + 3X = 7 + 16 Combine like terms: -16 + 16 = 0 0 + 3X = 7 + 16 3X = 7 + 16 Combine like terms: 7 + 16 = 23 3X = 23 Divide each side by '3'. X = 7.666666667 Simplifying X = 7.666666667
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