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Simplifying 2(6X + 12) = 5(3x + -16) + -22 Reorder the terms: 2(12 + 6X) = 5(3x + -16) + -22 (12 * 2 + 6X * 2) = 5(3x + -16) + -22 (24 + 12X) = 5(3x + -16) + -22 Reorder the terms: 24 + 12X = 5(-16 + 3x) + -22 24 + 12X = (-16 * 5 + 3x * 5) + -22 24 + 12X = (-80 + 15x) + -22 Reorder the terms: 24 + 12X = -80 + -22 + 15x Combine like terms: -80 + -22 = -102 24 + 12X = -102 + 15x Solving 24 + 12X = -102 + 15x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12X = -102 + -24 + 15x Combine like terms: 24 + -24 = 0 0 + 12X = -102 + -24 + 15x 12X = -102 + -24 + 15x Combine like terms: -102 + -24 = -126 12X = -126 + 15x Divide each side by '12'. X = -10.5 + 1.25x Simplifying X = -10.5 + 1.25x
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