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Simplifying 2(3X + -4) + 6(X + -4) = -3(4 + -5X) + 5X + -2 Reorder the terms: 2(-4 + 3X) + 6(X + -4) = -3(4 + -5X) + 5X + -2 (-4 * 2 + 3X * 2) + 6(X + -4) = -3(4 + -5X) + 5X + -2 (-8 + 6X) + 6(X + -4) = -3(4 + -5X) + 5X + -2 Reorder the terms: -8 + 6X + 6(-4 + X) = -3(4 + -5X) + 5X + -2 -8 + 6X + (-4 * 6 + X * 6) = -3(4 + -5X) + 5X + -2 -8 + 6X + (-24 + 6X) = -3(4 + -5X) + 5X + -2 Reorder the terms: -8 + -24 + 6X + 6X = -3(4 + -5X) + 5X + -2 Combine like terms: -8 + -24 = -32 -32 + 6X + 6X = -3(4 + -5X) + 5X + -2 Combine like terms: 6X + 6X = 12X -32 + 12X = -3(4 + -5X) + 5X + -2 -32 + 12X = (4 * -3 + -5X * -3) + 5X + -2 -32 + 12X = (-12 + 15X) + 5X + -2 Reorder the terms: -32 + 12X = -12 + -2 + 15X + 5X Combine like terms: -12 + -2 = -14 -32 + 12X = -14 + 15X + 5X Combine like terms: 15X + 5X = 20X -32 + 12X = -14 + 20X Solving -32 + 12X = -14 + 20X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-20X' to each side of the equation. -32 + 12X + -20X = -14 + 20X + -20X Combine like terms: 12X + -20X = -8X -32 + -8X = -14 + 20X + -20X Combine like terms: 20X + -20X = 0 -32 + -8X = -14 + 0 -32 + -8X = -14 Add '32' to each side of the equation. -32 + 32 + -8X = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -8X = -14 + 32 -8X = -14 + 32 Combine like terms: -14 + 32 = 18 -8X = 18 Divide each side by '-8'. X = -2.25 Simplifying X = -2.25
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