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Simplifying 3(2x + 15) + -5(X + -10) = 17 Reorder the terms: 3(15 + 2x) + -5(X + -10) = 17 (15 * 3 + 2x * 3) + -5(X + -10) = 17 (45 + 6x) + -5(X + -10) = 17 Reorder the terms: 45 + 6x + -5(-10 + X) = 17 45 + 6x + (-10 * -5 + X * -5) = 17 45 + 6x + (50 + -5X) = 17 Reorder the terms: 45 + 50 + -5X + 6x = 17 Combine like terms: 45 + 50 = 95 95 + -5X + 6x = 17 Solving 95 + -5X + 6x = 17 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -5X + -95 + 6x = 17 + -95 Reorder the terms: 95 + -95 + -5X + 6x = 17 + -95 Combine like terms: 95 + -95 = 0 0 + -5X + 6x = 17 + -95 -5X + 6x = 17 + -95 Combine like terms: 17 + -95 = -78 -5X + 6x = -78 Add '-6x' to each side of the equation. -5X + 6x + -6x = -78 + -6x Combine like terms: 6x + -6x = 0 -5X + 0 = -78 + -6x -5X = -78 + -6x Divide each side by '-5'. X = 15.6 + 1.2x Simplifying X = 15.6 + 1.2x
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