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Simplifying 5(2 + -3x) + -17(2x + -5) = 15 (2 * 5 + -3x * 5) + -17(2x + -5) = 15 (10 + -15x) + -17(2x + -5) = 15 Reorder the terms: 10 + -15x + -17(-5 + 2x) = 15 10 + -15x + (-5 * -17 + 2x * -17) = 15 10 + -15x + (85 + -34x) = 15 Reorder the terms: 10 + 85 + -15x + -34x = 15 Combine like terms: 10 + 85 = 95 95 + -15x + -34x = 15 Combine like terms: -15x + -34x = -49x 95 + -49x = 15 Solving 95 + -49x = 15 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 + -95 + -49x = 15 + -95 Combine like terms: 95 + -95 = 0 0 + -49x = 15 + -95 -49x = 15 + -95 Combine like terms: 15 + -95 = -80 -49x = -80 Divide each side by '-49'. x = 1.632653061 Simplifying x = 1.632653061
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