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Simplifying 8 + 2(X + -5) = 9 + -4(x + -4) Reorder the terms: 8 + 2(-5 + X) = 9 + -4(x + -4) 8 + (-5 * 2 + X * 2) = 9 + -4(x + -4) 8 + (-10 + 2X) = 9 + -4(x + -4) Combine like terms: 8 + -10 = -2 -2 + 2X = 9 + -4(x + -4) Reorder the terms: -2 + 2X = 9 + -4(-4 + x) -2 + 2X = 9 + (-4 * -4 + x * -4) -2 + 2X = 9 + (16 + -4x) Combine like terms: 9 + 16 = 25 -2 + 2X = 25 + -4x Solving -2 + 2X = 25 + -4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2X = 25 + 2 + -4x Combine like terms: -2 + 2 = 0 0 + 2X = 25 + 2 + -4x 2X = 25 + 2 + -4x Combine like terms: 25 + 2 = 27 2X = 27 + -4x Divide each side by '2'. X = 13.5 + -2x Simplifying X = 13.5 + -2x
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