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Simplifying 2(3X + -4) + 4(X + -2) = 6X + -12 Reorder the terms: 2(-4 + 3X) + 4(X + -2) = 6X + -12 (-4 * 2 + 3X * 2) + 4(X + -2) = 6X + -12 (-8 + 6X) + 4(X + -2) = 6X + -12 Reorder the terms: -8 + 6X + 4(-2 + X) = 6X + -12 -8 + 6X + (-2 * 4 + X * 4) = 6X + -12 -8 + 6X + (-8 + 4X) = 6X + -12 Reorder the terms: -8 + -8 + 6X + 4X = 6X + -12 Combine like terms: -8 + -8 = -16 -16 + 6X + 4X = 6X + -12 Combine like terms: 6X + 4X = 10X -16 + 10X = 6X + -12 Reorder the terms: -16 + 10X = -12 + 6X Solving -16 + 10X = -12 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. -16 + 10X + -6X = -12 + 6X + -6X Combine like terms: 10X + -6X = 4X -16 + 4X = -12 + 6X + -6X Combine like terms: 6X + -6X = 0 -16 + 4X = -12 + 0 -16 + 4X = -12 Add '16' to each side of the equation. -16 + 16 + 4X = -12 + 16 Combine like terms: -16 + 16 = 0 0 + 4X = -12 + 16 4X = -12 + 16 Combine like terms: -12 + 16 = 4 4X = 4 Divide each side by '4'. X = 1 Simplifying X = 1
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