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Simplifying 12(3X + 5) + -5(2x + -5) = 6x + -35 Reorder the terms: 12(5 + 3X) + -5(2x + -5) = 6x + -35 (5 * 12 + 3X * 12) + -5(2x + -5) = 6x + -35 (60 + 36X) + -5(2x + -5) = 6x + -35 Reorder the terms: 60 + 36X + -5(-5 + 2x) = 6x + -35 60 + 36X + (-5 * -5 + 2x * -5) = 6x + -35 60 + 36X + (25 + -10x) = 6x + -35 Reorder the terms: 60 + 25 + 36X + -10x = 6x + -35 Combine like terms: 60 + 25 = 85 85 + 36X + -10x = 6x + -35 Reorder the terms: 85 + 36X + -10x = -35 + 6x Solving 85 + 36X + -10x = -35 + 6x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + 36X + -85 + -10x = -35 + -85 + 6x Reorder the terms: 85 + -85 + 36X + -10x = -35 + -85 + 6x Combine like terms: 85 + -85 = 0 0 + 36X + -10x = -35 + -85 + 6x 36X + -10x = -35 + -85 + 6x Combine like terms: -35 + -85 = -120 36X + -10x = -120 + 6x Add '10x' to each side of the equation. 36X + -10x + 10x = -120 + 6x + 10x Combine like terms: -10x + 10x = 0 36X + 0 = -120 + 6x + 10x 36X = -120 + 6x + 10x Combine like terms: 6x + 10x = 16x 36X = -120 + 16x Divide each side by '36'. X = -3.333333333 + 0.4444444444x Simplifying X = -3.333333333 + 0.4444444444x
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