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Simplifying 9 + -4(X + 2) = 10 + -3(X + 1) Reorder the terms: 9 + -4(2 + X) = 10 + -3(X + 1) 9 + (2 * -4 + X * -4) = 10 + -3(X + 1) 9 + (-8 + -4X) = 10 + -3(X + 1) Combine like terms: 9 + -8 = 1 1 + -4X = 10 + -3(X + 1) Reorder the terms: 1 + -4X = 10 + -3(1 + X) 1 + -4X = 10 + (1 * -3 + X * -3) 1 + -4X = 10 + (-3 + -3X) Combine like terms: 10 + -3 = 7 1 + -4X = 7 + -3X Solving 1 + -4X = 7 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. 1 + -4X + 3X = 7 + -3X + 3X Combine like terms: -4X + 3X = -1X 1 + -1X = 7 + -3X + 3X Combine like terms: -3X + 3X = 0 1 + -1X = 7 + 0 1 + -1X = 7 Add '-1' to each side of the equation. 1 + -1 + -1X = 7 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 7 + -1 -1X = 7 + -1 Combine like terms: 7 + -1 = 6 -1X = 6 Divide each side by '-1'. X = -6 Simplifying X = -6
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