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Simplifying 12(3X + 4) + -6(2x + -4) = 4x + -28 Reorder the terms: 12(4 + 3X) + -6(2x + -4) = 4x + -28 (4 * 12 + 3X * 12) + -6(2x + -4) = 4x + -28 (48 + 36X) + -6(2x + -4) = 4x + -28 Reorder the terms: 48 + 36X + -6(-4 + 2x) = 4x + -28 48 + 36X + (-4 * -6 + 2x * -6) = 4x + -28 48 + 36X + (24 + -12x) = 4x + -28 Reorder the terms: 48 + 24 + 36X + -12x = 4x + -28 Combine like terms: 48 + 24 = 72 72 + 36X + -12x = 4x + -28 Reorder the terms: 72 + 36X + -12x = -28 + 4x Solving 72 + 36X + -12x = -28 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 36X + -72 + -12x = -28 + -72 + 4x Reorder the terms: 72 + -72 + 36X + -12x = -28 + -72 + 4x Combine like terms: 72 + -72 = 0 0 + 36X + -12x = -28 + -72 + 4x 36X + -12x = -28 + -72 + 4x Combine like terms: -28 + -72 = -100 36X + -12x = -100 + 4x Add '12x' to each side of the equation. 36X + -12x + 12x = -100 + 4x + 12x Combine like terms: -12x + 12x = 0 36X + 0 = -100 + 4x + 12x 36X = -100 + 4x + 12x Combine like terms: 4x + 12x = 16x 36X = -100 + 16x Divide each side by '36'. X = -2.777777778 + 0.4444444444x Simplifying X = -2.777777778 + 0.4444444444x
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