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Simplifying 4 + 2(X + -4) = 6 + -8(X + -9) Reorder the terms: 4 + 2(-4 + X) = 6 + -8(X + -9) 4 + (-4 * 2 + X * 2) = 6 + -8(X + -9) 4 + (-8 + 2X) = 6 + -8(X + -9) Combine like terms: 4 + -8 = -4 -4 + 2X = 6 + -8(X + -9) Reorder the terms: -4 + 2X = 6 + -8(-9 + X) -4 + 2X = 6 + (-9 * -8 + X * -8) -4 + 2X = 6 + (72 + -8X) Combine like terms: 6 + 72 = 78 -4 + 2X = 78 + -8X Solving -4 + 2X = 78 + -8X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '8X' to each side of the equation. -4 + 2X + 8X = 78 + -8X + 8X Combine like terms: 2X + 8X = 10X -4 + 10X = 78 + -8X + 8X Combine like terms: -8X + 8X = 0 -4 + 10X = 78 + 0 -4 + 10X = 78 Add '4' to each side of the equation. -4 + 4 + 10X = 78 + 4 Combine like terms: -4 + 4 = 0 0 + 10X = 78 + 4 10X = 78 + 4 Combine like terms: 78 + 4 = 82 10X = 82 Divide each side by '10'. X = 8.2 Simplifying X = 8.2
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