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Simplifying 4(X + -9) = 3(X + -8) Reorder the terms: 4(-9 + X) = 3(X + -8) (-9 * 4 + X * 4) = 3(X + -8) (-36 + 4X) = 3(X + -8) Reorder the terms: -36 + 4X = 3(-8 + X) -36 + 4X = (-8 * 3 + X * 3) -36 + 4X = (-24 + 3X) Solving -36 + 4X = -24 + 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. -36 + 4X + -3X = -24 + 3X + -3X Combine like terms: 4X + -3X = 1X -36 + 1X = -24 + 3X + -3X Combine like terms: 3X + -3X = 0 -36 + 1X = -24 + 0 -36 + 1X = -24 Add '36' to each side of the equation. -36 + 36 + 1X = -24 + 36 Combine like terms: -36 + 36 = 0 0 + 1X = -24 + 36 1X = -24 + 36 Combine like terms: -24 + 36 = 12 1X = 12 Divide each side by '1'. X = 12 Simplifying X = 12
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