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Simplifying 5(2 + -3) + -17(2x + -5) = 16 Combine like terms: 2 + -3 = -1 5(-1) + -17(2x + -5) = 16 Multiply 5 * -1 -5 + -17(2x + -5) = 16 Reorder the terms: -5 + -17(-5 + 2x) = 16 -5 + (-5 * -17 + 2x * -17) = 16 -5 + (85 + -34x) = 16 Combine like terms: -5 + 85 = 80 80 + -34x = 16 Solving 80 + -34x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + -34x = 16 + -80 Combine like terms: 80 + -80 = 0 0 + -34x = 16 + -80 -34x = 16 + -80 Combine like terms: 16 + -80 = -64 -34x = -64 Divide each side by '-34'. x = 1.882352941 Simplifying x = 1.882352941
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