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Simplifying 4(5X + 6) + -2X = 6X + 12 Reorder the terms: 4(6 + 5X) + -2X = 6X + 12 (6 * 4 + 5X * 4) + -2X = 6X + 12 (24 + 20X) + -2X = 6X + 12 Combine like terms: 20X + -2X = 18X 24 + 18X = 6X + 12 Reorder the terms: 24 + 18X = 12 + 6X Solving 24 + 18X = 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. 24 + 18X + -6X = 12 + 6X + -6X Combine like terms: 18X + -6X = 12X 24 + 12X = 12 + 6X + -6X Combine like terms: 6X + -6X = 0 24 + 12X = 12 + 0 24 + 12X = 12 Add '-24' to each side of the equation. 24 + -24 + 12X = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 12X = 12 + -24 12X = 12 + -24 Combine like terms: 12 + -24 = -12 12X = -12 Divide each side by '12'. X = -1 Simplifying X = -1
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